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Finding the Fourth Proportional to 2,154.42, 3,232.08 and 838.20

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Solution

The fourth proportional to 2,154.42, 3,232.08 and 838.20 is: 1,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.42 : 3,232.08 = 838.20 : x
  2. Step 2: Convert to fraction form
    2,154.42/3,232.08 = 838.20/x
  3. Step 3: Cross multiply
    2,154.42x = 3,232.08 × 838.20
  4. Step 4: Simplify right side
    2,154.42x = 2,709,129.46
  5. Step 5: Solve for x
    x = 2,709,129.46/2,154.42
  6. Step 6: Final answer
    x = 1,257.48

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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.