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Finding the Fourth Proportional to 2,921.77, 4,382.94 and 947.62

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Solution

The fourth proportional to 2,921.77, 4,382.94 and 947.62 is: 1,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.77 : 4,382.94 = 947.62 : x
  2. Step 2: Convert to fraction form
    2,921.77/4,382.94 = 947.62/x
  3. Step 3: Cross multiply
    2,921.77x = 4,382.94 × 947.62
  4. Step 4: Simplify right side
    2,921.77x = 4,153,374.97
  5. Step 5: Solve for x
    x = 4,153,374.97/2,921.77
  6. Step 6: Final answer
    x = 1,421.53

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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.