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Finding the Fourth Proportional to 3,106.32, 4,658.11 and 1,645.13

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Solution

The fourth proportional to 3,106.32, 4,658.11 and 1,645.13 is: 2,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.32 : 4,658.11 = 1,645.13 : x
  2. Step 2: Convert to fraction form
    3,106.32/4,658.11 = 1,645.13/x
  3. Step 3: Cross multiply
    3,106.32x = 4,658.11 × 1,645.13
  4. Step 4: Simplify right side
    3,106.32x = 7,663,177.83
  5. Step 5: Solve for x
    x = 7,663,177.83/3,106.32
  6. Step 6: Final answer
    x = 2,466.97

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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.