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Finding the Fourth Proportional to 2,283.10, 3,424.50 and 744.10

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Solution

The fourth proportional to 2,283.10, 3,424.50 and 744.10 is: 1,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.10 : 3,424.50 = 744.10 : x
  2. Step 2: Convert to fraction form
    2,283.10/3,424.50 = 744.10/x
  3. Step 3: Cross multiply
    2,283.10x = 3,424.50 × 744.10
  4. Step 4: Simplify right side
    2,283.10x = 2,548,170.45
  5. Step 5: Solve for x
    x = 2,548,170.45/2,283.10
  6. Step 6: Final answer
    x = 1,116.10

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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.