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Finding the Fourth Proportional to 1,763.28, 2,431.88 and 1,098.88

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Solution

The fourth proportional to 1,763.28, 2,431.88 and 1,098.88 is: 1,515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.28 : 2,431.88 = 1,098.88 : x
  2. Step 2: Convert to fraction form
    1,763.28/2,431.88 = 1,098.88/x
  3. Step 3: Cross multiply
    1,763.28x = 2,431.88 × 1,098.88
  4. Step 4: Simplify right side
    1,763.28x = 2,672,344.29
  5. Step 5: Solve for x
    x = 2,672,344.29/1,763.28
  6. Step 6: Final answer
    x = 1,515.55

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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.