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Finding the Fourth Proportional to 1,531.31, 2,113.22 and 832.69

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Solution

The fourth proportional to 1,531.31, 2,113.22 and 832.69 is: 1,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.31 : 2,113.22 = 832.69 : x
  2. Step 2: Convert to fraction form
    1,531.31/2,113.22 = 832.69/x
  3. Step 3: Cross multiply
    1,531.31x = 2,113.22 × 832.69
  4. Step 4: Simplify right side
    1,531.31x = 1,759,657.16
  5. Step 5: Solve for x
    x = 1,759,657.16/1,531.31
  6. Step 6: Final answer
    x = 1,149.12

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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.