Home / 1,531.14-2,112.90-832.50

Finding the Fourth Proportional to 1,531.14, 2,112.90 and 832.50

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Solution

The fourth proportional to 1,531.14, 2,112.90 and 832.50 is: 1,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.14 : 2,112.90 = 832.50 : x
  2. Step 2: Convert to fraction form
    1,531.14/2,112.90 = 832.50/x
  3. Step 3: Cross multiply
    1,531.14x = 2,112.90 × 832.50
  4. Step 4: Simplify right side
    1,531.14x = 1,758,989.25
  5. Step 5: Solve for x
    x = 1,758,989.25/1,531.14
  6. Step 6: Final answer
    x = 1,148.81

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Why These Related Problems?

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