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Finding the Fourth Proportional to 3,161.64, 4,740.42 and 1,314.02

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Solution

The fourth proportional to 3,161.64, 4,740.42 and 1,314.02 is: 1,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.64 : 4,740.42 = 1,314.02 : x
  2. Step 2: Convert to fraction form
    3,161.64/4,740.42 = 1,314.02/x
  3. Step 3: Cross multiply
    3,161.64x = 4,740.42 × 1,314.02
  4. Step 4: Simplify right side
    3,161.64x = 6,229,006.69
  5. Step 5: Solve for x
    x = 6,229,006.69/3,161.64
  6. Step 6: Final answer
    x = 1,970.18

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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.