Home / 1,685.43-2,524.14-1,442.13

Finding the Fourth Proportional to 1,685.43, 2,524.14 and 1,442.13

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Solution

The fourth proportional to 1,685.43, 2,524.14 and 1,442.13 is: 2,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.43 : 2,524.14 = 1,442.13 : x
  2. Step 2: Convert to fraction form
    1,685.43/2,524.14 = 1,442.13/x
  3. Step 3: Cross multiply
    1,685.43x = 2,524.14 × 1,442.13
  4. Step 4: Simplify right side
    1,685.43x = 3,640,138.02
  5. Step 5: Solve for x
    x = 3,640,138.02/1,685.43
  6. Step 6: Final answer
    x = 2,159.77

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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.