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Finding the Fourth Proportional to 2,409.60, 3,612.24 and 2,002.08

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Solution

The fourth proportional to 2,409.60, 3,612.24 and 2,002.08 is: 3,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.60 : 3,612.24 = 2,002.08 : x
  2. Step 2: Convert to fraction form
    2,409.60/3,612.24 = 2,002.08/x
  3. Step 3: Cross multiply
    2,409.60x = 3,612.24 × 2,002.08
  4. Step 4: Simplify right side
    2,409.60x = 7,231,993.46
  5. Step 5: Solve for x
    x = 7,231,993.46/2,409.60
  6. Step 6: Final answer
    x = 3,001.33

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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.