Home / 2,781.60-3,840-1,734.24

Finding the Fourth Proportional to 2,781.60, 3,840 and 1,734.24

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Solution

The fourth proportional to 2,781.60, 3,840 and 1,734.24 is: 2,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.60 : 3,840 = 1,734.24 : x
  2. Step 2: Convert to fraction form
    2,781.60/3,840 = 1,734.24/x
  3. Step 3: Cross multiply
    2,781.60x = 3,840 × 1,734.24
  4. Step 4: Simplify right side
    2,781.60x = 6,659,481.60
  5. Step 5: Solve for x
    x = 6,659,481.60/2,781.60
  6. Step 6: Final answer
    x = 2,394.12

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1.5x scale

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.