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Finding the Fourth Proportional to 1,597.88, 2,385.82 and 1,354.52

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Solution

The fourth proportional to 1,597.88, 2,385.82 and 1,354.52 is: 2,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.88 : 2,385.82 = 1,354.52 : x
  2. Step 2: Convert to fraction form
    1,597.88/2,385.82 = 1,354.52/x
  3. Step 3: Cross multiply
    1,597.88x = 2,385.82 × 1,354.52
  4. Step 4: Simplify right side
    1,597.88x = 3,231,640.91
  5. Step 5: Solve for x
    x = 3,231,640.91/1,597.88
  6. Step 6: Final answer
    x = 2,022.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.