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Finding the Fourth Proportional to 2,087.64, 3,127.32 and 1,098.96

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Solution

The fourth proportional to 2,087.64, 3,127.32 and 1,098.96 is: 1,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.64 : 3,127.32 = 1,098.96 : x
  2. Step 2: Convert to fraction form
    2,087.64/3,127.32 = 1,098.96/x
  3. Step 3: Cross multiply
    2,087.64x = 3,127.32 × 1,098.96
  4. Step 4: Simplify right side
    2,087.64x = 3,436,799.59
  5. Step 5: Solve for x
    x = 3,436,799.59/2,087.64
  6. Step 6: Final answer
    x = 1,646.26

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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.