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Finding the Fourth Proportional to 2,277.92, 3,144.96 and 1,752.96

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Solution

The fourth proportional to 2,277.92, 3,144.96 and 1,752.96 is: 2,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.92 : 3,144.96 = 1,752.96 : x
  2. Step 2: Convert to fraction form
    2,277.92/3,144.96 = 1,752.96/x
  3. Step 3: Cross multiply
    2,277.92x = 3,144.96 × 1,752.96
  4. Step 4: Simplify right side
    2,277.92x = 5,512,989.08
  5. Step 5: Solve for x
    x = 5,512,989.08/2,277.92
  6. Step 6: Final answer
    x = 2,420.19

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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.