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Finding the Fourth Proportional to 2,087.69, 3,132.45 and 917.10

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Solution

The fourth proportional to 2,087.69, 3,132.45 and 917.10 is: 1,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.69 : 3,132.45 = 917.10 : x
  2. Step 2: Convert to fraction form
    2,087.69/3,132.45 = 917.10/x
  3. Step 3: Cross multiply
    2,087.69x = 3,132.45 × 917.10
  4. Step 4: Simplify right side
    2,087.69x = 2,872,769.90
  5. Step 5: Solve for x
    x = 2,872,769.90/2,087.69
  6. Step 6: Final answer
    x = 1,376.06

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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.