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Finding the Fourth Proportional to 2,385.20, 3,577.85 and 653.82

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Solution

The fourth proportional to 2,385.20, 3,577.85 and 653.82 is: 980.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.20 : 3,577.85 = 653.82 : x
  2. Step 2: Convert to fraction form
    2,385.20/3,577.85 = 653.82/x
  3. Step 3: Cross multiply
    2,385.20x = 3,577.85 × 653.82
  4. Step 4: Simplify right side
    2,385.20x = 2,339,266.62
  5. Step 5: Solve for x
    x = 2,339,266.62/2,385.20
  6. Step 6: Final answer
    x = 980.74

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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.