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Finding the Fourth Proportional to 2,397.78, 3,595.20 and 837.42

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Solution

The fourth proportional to 2,397.78, 3,595.20 and 837.42 is: 1,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.78 : 3,595.20 = 837.42 : x
  2. Step 2: Convert to fraction form
    2,397.78/3,595.20 = 837.42/x
  3. Step 3: Cross multiply
    2,397.78x = 3,595.20 × 837.42
  4. Step 4: Simplify right side
    2,397.78x = 3,010,692.38
  5. Step 5: Solve for x
    x = 3,010,692.38/2,397.78
  6. Step 6: Final answer
    x = 1,255.62

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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.