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Finding the Fourth Proportional to 2,269.35, 3,404.70 and 1,877.55

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Solution

The fourth proportional to 2,269.35, 3,404.70 and 1,877.55 is: 2,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.35 : 3,404.70 = 1,877.55 : x
  2. Step 2: Convert to fraction form
    2,269.35/3,404.70 = 1,877.55/x
  3. Step 3: Cross multiply
    2,269.35x = 3,404.70 × 1,877.55
  4. Step 4: Simplify right side
    2,269.35x = 6,392,494.49
  5. Step 5: Solve for x
    x = 6,392,494.49/2,269.35
  6. Step 6: Final answer
    x = 2,816.88

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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.