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Finding the Fourth Proportional to 2,032.78, 3,049.62 and 627.34

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Solution

The fourth proportional to 2,032.78, 3,049.62 and 627.34 is: 941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.78 : 3,049.62 = 627.34 : x
  2. Step 2: Convert to fraction form
    2,032.78/3,049.62 = 627.34/x
  3. Step 3: Cross multiply
    2,032.78x = 3,049.62 × 627.34
  4. Step 4: Simplify right side
    2,032.78x = 1,913,148.61
  5. Step 5: Solve for x
    x = 1,913,148.61/2,032.78
  6. Step 6: Final answer
    x = 941.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.