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Finding the Fourth Proportional to 1,531.08, 2,112.89 and 832.46

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Solution

The fourth proportional to 1,531.08, 2,112.89 and 832.46 is: 1,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.08 : 2,112.89 = 832.46 : x
  2. Step 2: Convert to fraction form
    1,531.08/2,112.89 = 832.46/x
  3. Step 3: Cross multiply
    1,531.08x = 2,112.89 × 832.46
  4. Step 4: Simplify right side
    1,531.08x = 1,758,881.68
  5. Step 5: Solve for x
    x = 1,758,881.68/1,531.08
  6. Step 6: Final answer
    x = 1,148.78

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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.