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Finding the Fourth Proportional to 2,921.46, 4,382.24 and 973.67

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Solution

The fourth proportional to 2,921.46, 4,382.24 and 973.67 is: 1,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.46 : 4,382.24 = 973.67 : x
  2. Step 2: Convert to fraction form
    2,921.46/4,382.24 = 973.67/x
  3. Step 3: Cross multiply
    2,921.46x = 4,382.24 × 973.67
  4. Step 4: Simplify right side
    2,921.46x = 4,266,828.84
  5. Step 5: Solve for x
    x = 4,266,828.84/2,921.46
  6. Step 6: Final answer
    x = 1,460.51

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.