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Finding the Fourth Proportional to 2,974.32, 4,461.40 and 783.04

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Solution

The fourth proportional to 2,974.32, 4,461.40 and 783.04 is: 1,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.32 : 4,461.40 = 783.04 : x
  2. Step 2: Convert to fraction form
    2,974.32/4,461.40 = 783.04/x
  3. Step 3: Cross multiply
    2,974.32x = 4,461.40 × 783.04
  4. Step 4: Simplify right side
    2,974.32x = 3,493,454.66
  5. Step 5: Solve for x
    x = 3,493,454.66/2,974.32
  6. Step 6: Final answer
    x = 1,174.54

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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.