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Finding the Fourth Proportional to 2,614.13, 3,918.65 and 947.75

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Solution

The fourth proportional to 2,614.13, 3,918.65 and 947.75 is: 1,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.13 : 3,918.65 = 947.75 : x
  2. Step 2: Convert to fraction form
    2,614.13/3,918.65 = 947.75/x
  3. Step 3: Cross multiply
    2,614.13x = 3,918.65 × 947.75
  4. Step 4: Simplify right side
    2,614.13x = 3,713,876.21
  5. Step 5: Solve for x
    x = 3,713,876.21/2,614.13
  6. Step 6: Final answer
    x = 1,420.70

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