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Finding the Fourth Proportional to 2,282.76, 3,424.02 and 639.42

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Solution

The fourth proportional to 2,282.76, 3,424.02 and 639.42 is: 959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.76 : 3,424.02 = 639.42 : x
  2. Step 2: Convert to fraction form
    2,282.76/3,424.02 = 639.42/x
  3. Step 3: Cross multiply
    2,282.76x = 3,424.02 × 639.42
  4. Step 4: Simplify right side
    2,282.76x = 2,189,386.87
  5. Step 5: Solve for x
    x = 2,189,386.87/2,282.76
  6. Step 6: Final answer
    x = 959.10

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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.