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Finding the Fourth Proportional to 2,087.10, 3,129.84 and 917.06

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Solution

The fourth proportional to 2,087.10, 3,129.84 and 917.06 is: 1,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.10 : 3,129.84 = 917.06 : x
  2. Step 2: Convert to fraction form
    2,087.10/3,129.84 = 917.06/x
  3. Step 3: Cross multiply
    2,087.10x = 3,129.84 × 917.06
  4. Step 4: Simplify right side
    2,087.10x = 2,870,235.42
  5. Step 5: Solve for x
    x = 2,870,235.42/2,087.10
  6. Step 6: Final answer
    x = 1,375.23

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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.