Home / 1,232.14-1,848.51-410.41

Finding the Fourth Proportional to 1,232.14, 1,848.51 and 410.41

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Solution

The fourth proportional to 1,232.14, 1,848.51 and 410.41 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.14 : 1,848.51 = 410.41 : x
  2. Step 2: Convert to fraction form
    1,232.14/1,848.51 = 410.41/x
  3. Step 3: Cross multiply
    1,232.14x = 1,848.51 × 410.41
  4. Step 4: Simplify right side
    1,232.14x = 758,646.99
  5. Step 5: Solve for x
    x = 758,646.99/1,232.14
  6. Step 6: Final answer
    x = 615.71

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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.