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Finding the Fourth Proportional to 3,314.40, 4,970.40 and 1,339.20

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Solution

The fourth proportional to 3,314.40, 4,970.40 and 1,339.20 is: 2,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.40 : 4,970.40 = 1,339.20 : x
  2. Step 2: Convert to fraction form
    3,314.40/4,970.40 = 1,339.20/x
  3. Step 3: Cross multiply
    3,314.40x = 4,970.40 × 1,339.20
  4. Step 4: Simplify right side
    3,314.40x = 6,656,359.68
  5. Step 5: Solve for x
    x = 6,656,359.68/3,314.40
  6. Step 6: Final answer
    x = 2,008.32

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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.