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Finding the Fourth Proportional to 3,064.91, 4,591.35 and 1,600.52

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Solution

The fourth proportional to 3,064.91, 4,591.35 and 1,600.52 is: 2,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.91 : 4,591.35 = 1,600.52 : x
  2. Step 2: Convert to fraction form
    3,064.91/4,591.35 = 1,600.52/x
  3. Step 3: Cross multiply
    3,064.91x = 4,591.35 × 1,600.52
  4. Step 4: Simplify right side
    3,064.91x = 7,348,524.55
  5. Step 5: Solve for x
    x = 7,348,524.55/3,064.91
  6. Step 6: Final answer
    x = 2,397.64

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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.