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Finding the Fourth Proportional to 2,269.48, 3,402.60 and 1,402.96

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Solution

The fourth proportional to 2,269.48, 3,402.60 and 1,402.96 is: 2,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.48 : 3,402.60 = 1,402.96 : x
  2. Step 2: Convert to fraction form
    2,269.48/3,402.60 = 1,402.96/x
  3. Step 3: Cross multiply
    2,269.48x = 3,402.60 × 1,402.96
  4. Step 4: Simplify right side
    2,269.48x = 4,773,711.70
  5. Step 5: Solve for x
    x = 4,773,711.70/2,269.48
  6. Step 6: Final answer
    x = 2,103.44

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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.