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Finding the Fourth Proportional to 1,689.67, 2,332.59 and 1,061.11

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Solution

The fourth proportional to 1,689.67, 2,332.59 and 1,061.11 is: 1,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.67 : 2,332.59 = 1,061.11 : x
  2. Step 2: Convert to fraction form
    1,689.67/2,332.59 = 1,061.11/x
  3. Step 3: Cross multiply
    1,689.67x = 2,332.59 × 1,061.11
  4. Step 4: Simplify right side
    1,689.67x = 2,475,128.74
  5. Step 5: Solve for x
    x = 2,475,128.74/1,689.67
  6. Step 6: Final answer
    x = 1,464.86

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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.