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Finding the Fourth Proportional to 1,763.28, 2,432.88 and 1,173.42

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Solution

The fourth proportional to 1,763.28, 2,432.88 and 1,173.42 is: 1,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.28 : 2,432.88 = 1,173.42 : x
  2. Step 2: Convert to fraction form
    1,763.28/2,432.88 = 1,173.42/x
  3. Step 3: Cross multiply
    1,763.28x = 2,432.88 × 1,173.42
  4. Step 4: Simplify right side
    1,763.28x = 2,854,790.05
  5. Step 5: Solve for x
    x = 2,854,790.05/1,763.28
  6. Step 6: Final answer
    x = 1,619.02

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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.