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Finding the Fourth Proportional to 2,617.38, 3,927.21 and 973.56

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Solution

The fourth proportional to 2,617.38, 3,927.21 and 973.56 is: 1,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.38 : 3,927.21 = 973.56 : x
  2. Step 2: Convert to fraction form
    2,617.38/3,927.21 = 973.56/x
  3. Step 3: Cross multiply
    2,617.38x = 3,927.21 × 973.56
  4. Step 4: Simplify right side
    2,617.38x = 3,823,374.57
  5. Step 5: Solve for x
    x = 3,823,374.57/2,617.38
  6. Step 6: Final answer
    x = 1,460.76

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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.