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Finding the Fourth Proportional to 2,438.42, 3,652.35 and 1,397.91

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Solution

The fourth proportional to 2,438.42, 3,652.35 and 1,397.91 is: 2,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.42 : 3,652.35 = 1,397.91 : x
  2. Step 2: Convert to fraction form
    2,438.42/3,652.35 = 1,397.91/x
  3. Step 3: Cross multiply
    2,438.42x = 3,652.35 × 1,397.91
  4. Step 4: Simplify right side
    2,438.42x = 5,105,656.59
  5. Step 5: Solve for x
    x = 5,105,656.59/2,438.42
  6. Step 6: Final answer
    x = 2,093.84

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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.