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Finding the Fourth Proportional to 1,732.59, 2,391.12 and 1,289.52

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Solution

The fourth proportional to 1,732.59, 2,391.12 and 1,289.52 is: 1,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.59 : 2,391.12 = 1,289.52 : x
  2. Step 2: Convert to fraction form
    1,732.59/2,391.12 = 1,289.52/x
  3. Step 3: Cross multiply
    1,732.59x = 2,391.12 × 1,289.52
  4. Step 4: Simplify right side
    1,732.59x = 3,083,397.06
  5. Step 5: Solve for x
    x = 3,083,397.06/1,732.59
  6. Step 6: Final answer
    x = 1,779.65

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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.