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Finding the Fourth Proportional to 1,689.65, 2,537.29 and 1,044.49

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Solution

The fourth proportional to 1,689.65, 2,537.29 and 1,044.49 is: 1,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.65 : 2,537.29 = 1,044.49 : x
  2. Step 2: Convert to fraction form
    1,689.65/2,537.29 = 1,044.49/x
  3. Step 3: Cross multiply
    1,689.65x = 2,537.29 × 1,044.49
  4. Step 4: Simplify right side
    1,689.65x = 2,650,165.08
  5. Step 5: Solve for x
    x = 2,650,165.08/1,689.65
  6. Step 6: Final answer
    x = 1,568.47

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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.