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Finding the Fourth Proportional to 2,143.47, 3,207.92 and 1,658.69

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Solution

The fourth proportional to 2,143.47, 3,207.92 and 1,658.69 is: 2,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.47 : 3,207.92 = 1,658.69 : x
  2. Step 2: Convert to fraction form
    2,143.47/3,207.92 = 1,658.69/x
  3. Step 3: Cross multiply
    2,143.47x = 3,207.92 × 1,658.69
  4. Step 4: Simplify right side
    2,143.47x = 5,320,920.49
  5. Step 5: Solve for x
    x = 5,320,920.49/2,143.47
  6. Step 6: Final answer
    x = 2,482.39

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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.