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Finding the Fourth Proportional to 2,966.40, 4,449.60 and 2,496.60

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Solution

The fourth proportional to 2,966.40, 4,449.60 and 2,496.60 is: 3,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.40 : 4,449.60 = 2,496.60 : x
  2. Step 2: Convert to fraction form
    2,966.40/4,449.60 = 2,496.60/x
  3. Step 3: Cross multiply
    2,966.40x = 4,449.60 × 2,496.60
  4. Step 4: Simplify right side
    2,966.40x = 11,108,871.36
  5. Step 5: Solve for x
    x = 11,108,871.36/2,966.40
  6. Step 6: Final answer
    x = 3,744.90

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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.