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Finding the Fourth Proportional to 3,321.30, 4,977.90 and 1,470.45

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Solution

The fourth proportional to 3,321.30, 4,977.90 and 1,470.45 is: 2,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.30 : 4,977.90 = 1,470.45 : x
  2. Step 2: Convert to fraction form
    3,321.30/4,977.90 = 1,470.45/x
  3. Step 3: Cross multiply
    3,321.30x = 4,977.90 × 1,470.45
  4. Step 4: Simplify right side
    3,321.30x = 7,319,753.06
  5. Step 5: Solve for x
    x = 7,319,753.06/3,321.30
  6. Step 6: Final answer
    x = 2,203.88

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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.