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Finding the Fourth Proportional to 2,442.90, 3,661.71 and 903.78

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Solution

The fourth proportional to 2,442.90, 3,661.71 and 903.78 is: 1,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.90 : 3,661.71 = 903.78 : x
  2. Step 2: Convert to fraction form
    2,442.90/3,661.71 = 903.78/x
  3. Step 3: Cross multiply
    2,442.90x = 3,661.71 × 903.78
  4. Step 4: Simplify right side
    2,442.90x = 3,309,380.26
  5. Step 5: Solve for x
    x = 3,309,380.26/2,442.90
  6. Step 6: Final answer
    x = 1,354.69

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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.