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Finding the Fourth Proportional to 2,708.52, 4,062.81 and 953.58

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Solution

The fourth proportional to 2,708.52, 4,062.81 and 953.58 is: 1,430.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.52 : 4,062.81 = 953.58 : x
  2. Step 2: Convert to fraction form
    2,708.52/4,062.81 = 953.58/x
  3. Step 3: Cross multiply
    2,708.52x = 4,062.81 × 953.58
  4. Step 4: Simplify right side
    2,708.52x = 3,874,194.05
  5. Step 5: Solve for x
    x = 3,874,194.05/2,708.52
  6. Step 6: Final answer
    x = 1,430.38

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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.