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Finding the Fourth Proportional to 1,761.90, 2,431.56 and 1,098.84

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Solution

The fourth proportional to 1,761.90, 2,431.56 and 1,098.84 is: 1,516.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.90 : 2,431.56 = 1,098.84 : x
  2. Step 2: Convert to fraction form
    1,761.90/2,431.56 = 1,098.84/x
  3. Step 3: Cross multiply
    1,761.90x = 2,431.56 × 1,098.84
  4. Step 4: Simplify right side
    1,761.90x = 2,671,895.39
  5. Step 5: Solve for x
    x = 2,671,895.39/1,761.90
  6. Step 6: Final answer
    x = 1,516.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.