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Finding the Fourth Proportional to 2,053.43, 3,077.71 and 955.47

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Solution

The fourth proportional to 2,053.43, 3,077.71 and 955.47 is: 1,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.43 : 3,077.71 = 955.47 : x
  2. Step 2: Convert to fraction form
    2,053.43/3,077.71 = 955.47/x
  3. Step 3: Cross multiply
    2,053.43x = 3,077.71 × 955.47
  4. Step 4: Simplify right side
    2,053.43x = 2,940,659.57
  5. Step 5: Solve for x
    x = 2,940,659.57/2,053.43
  6. Step 6: Final answer
    x = 1,432.07

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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.