Home / 2,531.29-3,493.05-1,412.14

Finding the Fourth Proportional to 2,531.29, 3,493.05 and 1,412.14

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Solution

The fourth proportional to 2,531.29, 3,493.05 and 1,412.14 is: 1,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.29 : 3,493.05 = 1,412.14 : x
  2. Step 2: Convert to fraction form
    2,531.29/3,493.05 = 1,412.14/x
  3. Step 3: Cross multiply
    2,531.29x = 3,493.05 × 1,412.14
  4. Step 4: Simplify right side
    2,531.29x = 4,932,675.63
  5. Step 5: Solve for x
    x = 4,932,675.63/2,531.29
  6. Step 6: Final answer
    x = 1,948.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.