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Finding the Fourth Proportional to 2,974.56, 4,461.76 and 783.24

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Solution

The fourth proportional to 2,974.56, 4,461.76 and 783.24 is: 1,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.56 : 4,461.76 = 783.24 : x
  2. Step 2: Convert to fraction form
    2,974.56/4,461.76 = 783.24/x
  3. Step 3: Cross multiply
    2,974.56x = 4,461.76 × 783.24
  4. Step 4: Simplify right side
    2,974.56x = 3,494,628.90
  5. Step 5: Solve for x
    x = 3,494,628.90/2,974.56
  6. Step 6: Final answer
    x = 1,174.84

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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.