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Finding the Fourth Proportional to 1,642.88, 2,463.62 and 546.95

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Solution

The fourth proportional to 1,642.88, 2,463.62 and 546.95 is: 820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.88 : 2,463.62 = 546.95 : x
  2. Step 2: Convert to fraction form
    1,642.88/2,463.62 = 546.95/x
  3. Step 3: Cross multiply
    1,642.88x = 2,463.62 × 546.95
  4. Step 4: Simplify right side
    1,642.88x = 1,347,480.38
  5. Step 5: Solve for x
    x = 1,347,480.38/1,642.88
  6. Step 6: Final answer
    x = 820.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.