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Finding the Fourth Proportional to 2,452.68, 3,385.90 and 1,670.83

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Solution

The fourth proportional to 2,452.68, 3,385.90 and 1,670.83 is: 2,306.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.68 : 3,385.90 = 1,670.83 : x
  2. Step 2: Convert to fraction form
    2,452.68/3,385.90 = 1,670.83/x
  3. Step 3: Cross multiply
    2,452.68x = 3,385.90 × 1,670.83
  4. Step 4: Simplify right side
    2,452.68x = 5,657,256.92
  5. Step 5: Solve for x
    x = 5,657,256.92/2,452.68
  6. Step 6: Final answer
    x = 2,306.56

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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.