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Finding the Fourth Proportional to 1,729.52, 2,591.40 and 1,214

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Solution

The fourth proportional to 1,729.52, 2,591.40 and 1,214 is: 1,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.52 : 2,591.40 = 1,214 : x
  2. Step 2: Convert to fraction form
    1,729.52/2,591.40 = 1,214/x
  3. Step 3: Cross multiply
    1,729.52x = 2,591.40 × 1,214
  4. Step 4: Simplify right side
    1,729.52x = 3,145,959.60
  5. Step 5: Solve for x
    x = 3,145,959.60/1,729.52
  6. Step 6: Final answer
    x = 1,818.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.