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Finding the Fourth Proportional to 3,151.64, 4,730.38 and 1,592.74

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Solution

The fourth proportional to 3,151.64, 4,730.38 and 1,592.74 is: 2,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.64 : 4,730.38 = 1,592.74 : x
  2. Step 2: Convert to fraction form
    3,151.64/4,730.38 = 1,592.74/x
  3. Step 3: Cross multiply
    3,151.64x = 4,730.38 × 1,592.74
  4. Step 4: Simplify right side
    3,151.64x = 7,534,265.44
  5. Step 5: Solve for x
    x = 7,534,265.44/3,151.64
  6. Step 6: Final answer
    x = 2,390.59

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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.