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Finding the Fourth Proportional to 2,283.28, 3,424.80 and 744.16

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Solution

The fourth proportional to 2,283.28, 3,424.80 and 744.16 is: 1,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.28 : 3,424.80 = 744.16 : x
  2. Step 2: Convert to fraction form
    2,283.28/3,424.80 = 744.16/x
  3. Step 3: Cross multiply
    2,283.28x = 3,424.80 × 744.16
  4. Step 4: Simplify right side
    2,283.28x = 2,548,599.17
  5. Step 5: Solve for x
    x = 2,548,599.17/2,283.28
  6. Step 6: Final answer
    x = 1,116.20

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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.