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Finding the Fourth Proportional to 1,689.67, 2,535.35 and 1,140.65

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Solution

The fourth proportional to 1,689.67, 2,535.35 and 1,140.65 is: 1,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.67 : 2,535.35 = 1,140.65 : x
  2. Step 2: Convert to fraction form
    1,689.67/2,535.35 = 1,140.65/x
  3. Step 3: Cross multiply
    1,689.67x = 2,535.35 × 1,140.65
  4. Step 4: Simplify right side
    1,689.67x = 2,891,938.11
  5. Step 5: Solve for x
    x = 2,891,938.11/1,689.67
  6. Step 6: Final answer
    x = 1,711.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.