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Finding the Fourth Proportional to 2,909.60, 4,016.40 and 2,448.80

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Solution

The fourth proportional to 2,909.60, 4,016.40 and 2,448.80 is: 3,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.60 : 4,016.40 = 2,448.80 : x
  2. Step 2: Convert to fraction form
    2,909.60/4,016.40 = 2,448.80/x
  3. Step 3: Cross multiply
    2,909.60x = 4,016.40 × 2,448.80
  4. Step 4: Simplify right side
    2,909.60x = 9,835,360.32
  5. Step 5: Solve for x
    x = 9,835,360.32/2,909.60
  6. Step 6: Final answer
    x = 3,380.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.