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Finding the Fourth Proportional to 2,229.60, 3,345.62 and 1,408.26

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Solution

The fourth proportional to 2,229.60, 3,345.62 and 1,408.26 is: 2,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.60 : 3,345.62 = 1,408.26 : x
  2. Step 2: Convert to fraction form
    2,229.60/3,345.62 = 1,408.26/x
  3. Step 3: Cross multiply
    2,229.60x = 3,345.62 × 1,408.26
  4. Step 4: Simplify right side
    2,229.60x = 4,711,495.78
  5. Step 5: Solve for x
    x = 4,711,495.78/2,229.60
  6. Step 6: Final answer
    x = 2,113.16

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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.