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Finding the Fourth Proportional to 1,642.01, 2,462.47 and 546.08

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Solution

The fourth proportional to 1,642.01, 2,462.47 and 546.08 is: 818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.01 : 2,462.47 = 546.08 : x
  2. Step 2: Convert to fraction form
    1,642.01/2,462.47 = 546.08/x
  3. Step 3: Cross multiply
    1,642.01x = 2,462.47 × 546.08
  4. Step 4: Simplify right side
    1,642.01x = 1,344,691.94
  5. Step 5: Solve for x
    x = 1,344,691.94/1,642.01
  6. Step 6: Final answer
    x = 818.93

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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.