Home / 1,257.20-1,883.10-981.80

Finding the Fourth Proportional to 1,257.20, 1,883.10 and 981.80

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Solution

The fourth proportional to 1,257.20, 1,883.10 and 981.80 is: 1,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.20 : 1,883.10 = 981.80 : x
  2. Step 2: Convert to fraction form
    1,257.20/1,883.10 = 981.80/x
  3. Step 3: Cross multiply
    1,257.20x = 1,883.10 × 981.80
  4. Step 4: Simplify right side
    1,257.20x = 1,848,827.58
  5. Step 5: Solve for x
    x = 1,848,827.58/1,257.20
  6. Step 6: Final answer
    x = 1,470.59

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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.