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Finding the Fourth Proportional to 2,293.76, 3,441 and 832.70

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Solution

The fourth proportional to 2,293.76, 3,441 and 832.70 is: 1,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.76 : 3,441 = 832.70 : x
  2. Step 2: Convert to fraction form
    2,293.76/3,441 = 832.70/x
  3. Step 3: Cross multiply
    2,293.76x = 3,441 × 832.70
  4. Step 4: Simplify right side
    2,293.76x = 2,865,320.70
  5. Step 5: Solve for x
    x = 2,865,320.70/2,293.76
  6. Step 6: Final answer
    x = 1,249.18

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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.