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Finding the Fourth Proportional to 2,337.68, 3,507.80 and 1,818.74

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Solution

The fourth proportional to 2,337.68, 3,507.80 and 1,818.74 is: 2,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.68 : 3,507.80 = 1,818.74 : x
  2. Step 2: Convert to fraction form
    2,337.68/3,507.80 = 1,818.74/x
  3. Step 3: Cross multiply
    2,337.68x = 3,507.80 × 1,818.74
  4. Step 4: Simplify right side
    2,337.68x = 6,379,749.54
  5. Step 5: Solve for x
    x = 6,379,749.54/2,337.68
  6. Step 6: Final answer
    x = 2,729.10

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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.