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Finding the Fourth Proportional to 3,454.75, 4,767.63 and 1,882.85

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Solution

The fourth proportional to 3,454.75, 4,767.63 and 1,882.85 is: 2,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.75 : 4,767.63 = 1,882.85 : x
  2. Step 2: Convert to fraction form
    3,454.75/4,767.63 = 1,882.85/x
  3. Step 3: Cross multiply
    3,454.75x = 4,767.63 × 1,882.85
  4. Step 4: Simplify right side
    3,454.75x = 8,976,701.25
  5. Step 5: Solve for x
    x = 8,976,701.25/3,454.75
  6. Step 6: Final answer
    x = 2,598.36

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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.