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Finding the Fourth Proportional to 2,042.92, 3,064.74 and 948.52

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Solution

The fourth proportional to 2,042.92, 3,064.74 and 948.52 is: 1,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.92 : 3,064.74 = 948.52 : x
  2. Step 2: Convert to fraction form
    2,042.92/3,064.74 = 948.52/x
  3. Step 3: Cross multiply
    2,042.92x = 3,064.74 × 948.52
  4. Step 4: Simplify right side
    2,042.92x = 2,906,967.18
  5. Step 5: Solve for x
    x = 2,906,967.18/2,042.92
  6. Step 6: Final answer
    x = 1,422.95

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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.