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Finding the Fourth Proportional to 3,160.44, 4,740.44 and 1,310.86

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Solution

The fourth proportional to 3,160.44, 4,740.44 and 1,310.86 is: 1,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.44 : 4,740.44 = 1,310.86 : x
  2. Step 2: Convert to fraction form
    3,160.44/4,740.44 = 1,310.86/x
  3. Step 3: Cross multiply
    3,160.44x = 4,740.44 × 1,310.86
  4. Step 4: Simplify right side
    3,160.44x = 6,214,053.18
  5. Step 5: Solve for x
    x = 6,214,053.18/3,160.44
  6. Step 6: Final answer
    x = 1,966.20

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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.