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Finding the Fourth Proportional to 1,614.74, 2,422.71 and 965.93

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Solution

The fourth proportional to 1,614.74, 2,422.71 and 965.93 is: 1,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.74 : 2,422.71 = 965.93 : x
  2. Step 2: Convert to fraction form
    1,614.74/2,422.71 = 965.93/x
  3. Step 3: Cross multiply
    1,614.74x = 2,422.71 × 965.93
  4. Step 4: Simplify right side
    1,614.74x = 2,340,156.16
  5. Step 5: Solve for x
    x = 2,340,156.16/1,614.74
  6. Step 6: Final answer
    x = 1,449.25

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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.