Home / 2,531.14-3,492.80-1,412.14

Finding the Fourth Proportional to 2,531.14, 3,492.80 and 1,412.14

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Solution

The fourth proportional to 2,531.14, 3,492.80 and 1,412.14 is: 1,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.14 : 3,492.80 = 1,412.14 : x
  2. Step 2: Convert to fraction form
    2,531.14/3,492.80 = 1,412.14/x
  3. Step 3: Cross multiply
    2,531.14x = 3,492.80 × 1,412.14
  4. Step 4: Simplify right side
    2,531.14x = 4,932,322.59
  5. Step 5: Solve for x
    x = 4,932,322.59/2,531.14
  6. Step 6: Final answer
    x = 1,948.66

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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.