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Finding the Fourth Proportional to 1,542.41, 2,128.52 and 834.25

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Solution

The fourth proportional to 1,542.41, 2,128.52 and 834.25 is: 1,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.41 : 2,128.52 = 834.25 : x
  2. Step 2: Convert to fraction form
    1,542.41/2,128.52 = 834.25/x
  3. Step 3: Cross multiply
    1,542.41x = 2,128.52 × 834.25
  4. Step 4: Simplify right side
    1,542.41x = 1,775,718.15
  5. Step 5: Solve for x
    x = 1,775,718.15/1,542.41
  6. Step 6: Final answer
    x = 1,151.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.