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Finding the Fourth Proportional to 2,270.85, 3,407.25 and 954.94

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Solution

The fourth proportional to 2,270.85, 3,407.25 and 954.94 is: 1,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.85 : 3,407.25 = 954.94 : x
  2. Step 2: Convert to fraction form
    2,270.85/3,407.25 = 954.94/x
  3. Step 3: Cross multiply
    2,270.85x = 3,407.25 × 954.94
  4. Step 4: Simplify right side
    2,270.85x = 3,253,719.32
  5. Step 5: Solve for x
    x = 3,253,719.32/2,270.85
  6. Step 6: Final answer
    x = 1,432.82

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1.5x scale

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.