Home / 2,743.20-4,114.80-1,012

Finding the Fourth Proportional to 2,743.20, 4,114.80 and 1,012

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Solution

The fourth proportional to 2,743.20, 4,114.80 and 1,012 is: 1,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.20 : 4,114.80 = 1,012 : x
  2. Step 2: Convert to fraction form
    2,743.20/4,114.80 = 1,012/x
  3. Step 3: Cross multiply
    2,743.20x = 4,114.80 × 1,012
  4. Step 4: Simplify right side
    2,743.20x = 4,164,177.60
  5. Step 5: Solve for x
    x = 4,164,177.60/2,743.20
  6. Step 6: Final answer
    x = 1,518.00

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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.