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Finding the Fourth Proportional to 2,565.28, 3,847.72 and 833.76

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Solution

The fourth proportional to 2,565.28, 3,847.72 and 833.76 is: 1,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.28 : 3,847.72 = 833.76 : x
  2. Step 2: Convert to fraction form
    2,565.28/3,847.72 = 833.76/x
  3. Step 3: Cross multiply
    2,565.28x = 3,847.72 × 833.76
  4. Step 4: Simplify right side
    2,565.28x = 3,208,075.03
  5. Step 5: Solve for x
    x = 3,208,075.03/2,565.28
  6. Step 6: Final answer
    x = 1,250.57

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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.