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Finding the Fourth Proportional to 1,675.32, 2,500.14 and 1,654.80

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Solution

The fourth proportional to 1,675.32, 2,500.14 and 1,654.80 is: 2,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.32 : 2,500.14 = 1,654.80 : x
  2. Step 2: Convert to fraction form
    1,675.32/2,500.14 = 1,654.80/x
  3. Step 3: Cross multiply
    1,675.32x = 2,500.14 × 1,654.80
  4. Step 4: Simplify right side
    1,675.32x = 4,137,231.67
  5. Step 5: Solve for x
    x = 4,137,231.67/1,675.32
  6. Step 6: Final answer
    x = 2,469.52

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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.