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Finding the Fourth Proportional to 2,261.76, 3,392.68 and 722.76

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Solution

The fourth proportional to 2,261.76, 3,392.68 and 722.76 is: 1,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.76 : 3,392.68 = 722.76 : x
  2. Step 2: Convert to fraction form
    2,261.76/3,392.68 = 722.76/x
  3. Step 3: Cross multiply
    2,261.76x = 3,392.68 × 722.76
  4. Step 4: Simplify right side
    2,261.76x = 2,452,093.40
  5. Step 5: Solve for x
    x = 2,452,093.40/2,261.76
  6. Step 6: Final answer
    x = 1,084.15

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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.