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Finding the Fourth Proportional to 2,938.78, 4,402.41 and 1,291.42

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Solution

The fourth proportional to 2,938.78, 4,402.41 and 1,291.42 is: 1,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.78 : 4,402.41 = 1,291.42 : x
  2. Step 2: Convert to fraction form
    2,938.78/4,402.41 = 1,291.42/x
  3. Step 3: Cross multiply
    2,938.78x = 4,402.41 × 1,291.42
  4. Step 4: Simplify right side
    2,938.78x = 5,685,360.32
  5. Step 5: Solve for x
    x = 5,685,360.32/2,938.78
  6. Step 6: Final answer
    x = 1,934.60

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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.