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Finding the Fourth Proportional to 2,970.64, 4,456.47 and 1,327.15

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Solution

The fourth proportional to 2,970.64, 4,456.47 and 1,327.15 is: 1,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.64 : 4,456.47 = 1,327.15 : x
  2. Step 2: Convert to fraction form
    2,970.64/4,456.47 = 1,327.15/x
  3. Step 3: Cross multiply
    2,970.64x = 4,456.47 × 1,327.15
  4. Step 4: Simplify right side
    2,970.64x = 5,914,404.16
  5. Step 5: Solve for x
    x = 5,914,404.16/2,970.64
  6. Step 6: Final answer
    x = 1,990.95

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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.