Home / 1,531.40-2,114.10-1,281.80

Finding the Fourth Proportional to 1,531.40, 2,114.10 and 1,281.80

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Solution

The fourth proportional to 1,531.40, 2,114.10 and 1,281.80 is: 1,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.40 : 2,114.10 = 1,281.80 : x
  2. Step 2: Convert to fraction form
    1,531.40/2,114.10 = 1,281.80/x
  3. Step 3: Cross multiply
    1,531.40x = 2,114.10 × 1,281.80
  4. Step 4: Simplify right side
    1,531.40x = 2,709,853.38
  5. Step 5: Solve for x
    x = 2,709,853.38/1,531.40
  6. Step 6: Final answer
    x = 1,769.53

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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.