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Finding the Fourth Proportional to 2,569.76, 3,855.20 and 838.56

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Solution

The fourth proportional to 2,569.76, 3,855.20 and 838.56 is: 1,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.76 : 3,855.20 = 838.56 : x
  2. Step 2: Convert to fraction form
    2,569.76/3,855.20 = 838.56/x
  3. Step 3: Cross multiply
    2,569.76x = 3,855.20 × 838.56
  4. Step 4: Simplify right side
    2,569.76x = 3,232,816.51
  5. Step 5: Solve for x
    x = 3,232,816.51/2,569.76
  6. Step 6: Final answer
    x = 1,258.02

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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.