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Finding the Fourth Proportional to 2,976.04, 4,464.36 and 784.92

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Solution

The fourth proportional to 2,976.04, 4,464.36 and 784.92 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.04 : 4,464.36 = 784.92 : x
  2. Step 2: Convert to fraction form
    2,976.04/4,464.36 = 784.92/x
  3. Step 3: Cross multiply
    2,976.04x = 4,464.36 × 784.92
  4. Step 4: Simplify right side
    2,976.04x = 3,504,165.45
  5. Step 5: Solve for x
    x = 3,504,165.45/2,976.04
  6. Step 6: Final answer
    x = 1,177.46

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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.