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Finding the Fourth Proportional to 2,974.28, 4,461.42 and 782.96

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Solution

The fourth proportional to 2,974.28, 4,461.42 and 782.96 is: 1,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.28 : 4,461.42 = 782.96 : x
  2. Step 2: Convert to fraction form
    2,974.28/4,461.42 = 782.96/x
  3. Step 3: Cross multiply
    2,974.28x = 4,461.42 × 782.96
  4. Step 4: Simplify right side
    2,974.28x = 3,493,113.40
  5. Step 5: Solve for x
    x = 3,493,113.40/2,974.28
  6. Step 6: Final answer
    x = 1,174.44

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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.