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Finding the Fourth Proportional to 1,531.89, 2,114.01 and 833.25

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Solution

The fourth proportional to 1,531.89, 2,114.01 and 833.25 is: 1,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.89 : 2,114.01 = 833.25 : x
  2. Step 2: Convert to fraction form
    1,531.89/2,114.01 = 833.25/x
  3. Step 3: Cross multiply
    1,531.89x = 2,114.01 × 833.25
  4. Step 4: Simplify right side
    1,531.89x = 1,761,498.83
  5. Step 5: Solve for x
    x = 1,761,498.83/1,531.89
  6. Step 6: Final answer
    x = 1,149.89

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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.