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Finding the Fourth Proportional to 2,658.85, 3,669.28 and 1,463.87

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Solution

The fourth proportional to 2,658.85, 3,669.28 and 1,463.87 is: 2,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.85 : 3,669.28 = 1,463.87 : x
  2. Step 2: Convert to fraction form
    2,658.85/3,669.28 = 1,463.87/x
  3. Step 3: Cross multiply
    2,658.85x = 3,669.28 × 1,463.87
  4. Step 4: Simplify right side
    2,658.85x = 5,371,323.25
  5. Step 5: Solve for x
    x = 5,371,323.25/2,658.85
  6. Step 6: Final answer
    x = 2,020.17

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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.