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Finding the Fourth Proportional to 2,282.63, 3,424.10 and 984.11

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Solution

The fourth proportional to 2,282.63, 3,424.10 and 984.11 is: 1,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.63 : 3,424.10 = 984.11 : x
  2. Step 2: Convert to fraction form
    2,282.63/3,424.10 = 984.11/x
  3. Step 3: Cross multiply
    2,282.63x = 3,424.10 × 984.11
  4. Step 4: Simplify right side
    2,282.63x = 3,369,669.01
  5. Step 5: Solve for x
    x = 3,369,669.01/2,282.63
  6. Step 6: Final answer
    x = 1,476.23

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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.