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Finding the Fourth Proportional to 2,689.01, 4,032.49 and 1,593.68

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Solution

The fourth proportional to 2,689.01, 4,032.49 and 1,593.68 is: 2,389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.01 : 4,032.49 = 1,593.68 : x
  2. Step 2: Convert to fraction form
    2,689.01/4,032.49 = 1,593.68/x
  3. Step 3: Cross multiply
    2,689.01x = 4,032.49 × 1,593.68
  4. Step 4: Simplify right side
    2,689.01x = 6,426,498.66
  5. Step 5: Solve for x
    x = 6,426,498.66/2,689.01
  6. Step 6: Final answer
    x = 2,389.91

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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.