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Finding the Fourth Proportional to 2,475.67, 3,715.37 and 917.14

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Solution

The fourth proportional to 2,475.67, 3,715.37 and 917.14 is: 1,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.67 : 3,715.37 = 917.14 : x
  2. Step 2: Convert to fraction form
    2,475.67/3,715.37 = 917.14/x
  3. Step 3: Cross multiply
    2,475.67x = 3,715.37 × 917.14
  4. Step 4: Simplify right side
    2,475.67x = 3,407,491.28
  5. Step 5: Solve for x
    x = 3,407,491.28/2,475.67
  6. Step 6: Final answer
    x = 1,376.39

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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.