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Finding the Fourth Proportional to 2,377.82, 3,565.82 and 1,645.18

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Solution

The fourth proportional to 2,377.82, 3,565.82 and 1,645.18 is: 2,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.82 : 3,565.82 = 1,645.18 : x
  2. Step 2: Convert to fraction form
    2,377.82/3,565.82 = 1,645.18/x
  3. Step 3: Cross multiply
    2,377.82x = 3,565.82 × 1,645.18
  4. Step 4: Simplify right side
    2,377.82x = 5,866,410.95
  5. Step 5: Solve for x
    x = 5,866,410.95/2,377.82
  6. Step 6: Final answer
    x = 2,467.14

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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.