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Finding the Fourth Proportional to 1,685.78, 2,527.14 and 1,427.44

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Solution

The fourth proportional to 1,685.78, 2,527.14 and 1,427.44 is: 2,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.78 : 2,527.14 = 1,427.44 : x
  2. Step 2: Convert to fraction form
    1,685.78/2,527.14 = 1,427.44/x
  3. Step 3: Cross multiply
    1,685.78x = 2,527.14 × 1,427.44
  4. Step 4: Simplify right side
    1,685.78x = 3,607,340.72
  5. Step 5: Solve for x
    x = 3,607,340.72/1,685.78
  6. Step 6: Final answer
    x = 2,139.86

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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.