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Finding the Fourth Proportional to 2,974.28, 4,461.06 and 783.18

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Solution

The fourth proportional to 2,974.28, 4,461.06 and 783.18 is: 1,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.28 : 4,461.06 = 783.18 : x
  2. Step 2: Convert to fraction form
    2,974.28/4,461.06 = 783.18/x
  3. Step 3: Cross multiply
    2,974.28x = 4,461.06 × 783.18
  4. Step 4: Simplify right side
    2,974.28x = 3,493,812.97
  5. Step 5: Solve for x
    x = 3,493,812.97/2,974.28
  6. Step 6: Final answer
    x = 1,174.68

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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.