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Finding the Fourth Proportional to 2,290.60, 3,429.24 and 1,419.04

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Solution

The fourth proportional to 2,290.60, 3,429.24 and 1,419.04 is: 2,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.60 : 3,429.24 = 1,419.04 : x
  2. Step 2: Convert to fraction form
    2,290.60/3,429.24 = 1,419.04/x
  3. Step 3: Cross multiply
    2,290.60x = 3,429.24 × 1,419.04
  4. Step 4: Simplify right side
    2,290.60x = 4,866,228.73
  5. Step 5: Solve for x
    x = 4,866,228.73/2,290.60
  6. Step 6: Final answer
    x = 2,124.43

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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.