Home / 1,642.23-2,463.29-409.61

Finding the Fourth Proportional to 1,642.23, 2,463.29 and 409.61

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Solution

The fourth proportional to 1,642.23, 2,463.29 and 409.61 is: 614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.23 : 2,463.29 = 409.61 : x
  2. Step 2: Convert to fraction form
    1,642.23/2,463.29 = 409.61/x
  3. Step 3: Cross multiply
    1,642.23x = 2,463.29 × 409.61
  4. Step 4: Simplify right side
    1,642.23x = 1,008,988.22
  5. Step 5: Solve for x
    x = 1,008,988.22/1,642.23
  6. Step 6: Final answer
    x = 614.40

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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.