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Finding the Fourth Proportional to 1,614.50, 2,422.63 and 1,250

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Solution

The fourth proportional to 1,614.50, 2,422.63 and 1,250 is: 1,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.50 : 2,422.63 = 1,250 : x
  2. Step 2: Convert to fraction form
    1,614.50/2,422.63 = 1,250/x
  3. Step 3: Cross multiply
    1,614.50x = 2,422.63 × 1,250
  4. Step 4: Simplify right side
    1,614.50x = 3,028,281.25
  5. Step 5: Solve for x
    x = 3,028,281.25/1,614.50
  6. Step 6: Final answer
    x = 1,875.68

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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.