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Finding the Fourth Proportional to 2,327.13, 3,484.76 and 2,257.88

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Solution

The fourth proportional to 2,327.13, 3,484.76 and 2,257.88 is: 3,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.13 : 3,484.76 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    2,327.13/3,484.76 = 2,257.88/x
  3. Step 3: Cross multiply
    2,327.13x = 3,484.76 × 2,257.88
  4. Step 4: Simplify right side
    2,327.13x = 7,868,141.20
  5. Step 5: Solve for x
    x = 7,868,141.20/2,327.13
  6. Step 6: Final answer
    x = 3,381.05

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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.