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Finding the Fourth Proportional to 1,530.52, 2,112.10 and 831.88

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Solution

The fourth proportional to 1,530.52, 2,112.10 and 831.88 is: 1,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.52 : 2,112.10 = 831.88 : x
  2. Step 2: Convert to fraction form
    1,530.52/2,112.10 = 831.88/x
  3. Step 3: Cross multiply
    1,530.52x = 2,112.10 × 831.88
  4. Step 4: Simplify right side
    1,530.52x = 1,757,013.75
  5. Step 5: Solve for x
    x = 1,757,013.75/1,530.52
  6. Step 6: Final answer
    x = 1,147.98

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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.