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Finding the Fourth Proportional to 2,658.90, 3,669.28 and 1,463.95

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Solution

The fourth proportional to 2,658.90, 3,669.28 and 1,463.95 is: 2,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.90 : 3,669.28 = 1,463.95 : x
  2. Step 2: Convert to fraction form
    2,658.90/3,669.28 = 1,463.95/x
  3. Step 3: Cross multiply
    2,658.90x = 3,669.28 × 1,463.95
  4. Step 4: Simplify right side
    2,658.90x = 5,371,642.46
  5. Step 5: Solve for x
    x = 5,371,642.46/2,658.90
  6. Step 6: Final answer
    x = 2,020.25

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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.