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Finding the Fourth Proportional to 2,976.34, 4,464.96 and 785.24

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Solution

The fourth proportional to 2,976.34, 4,464.96 and 785.24 is: 1,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.34 : 4,464.96 = 785.24 : x
  2. Step 2: Convert to fraction form
    2,976.34/4,464.96 = 785.24/x
  3. Step 3: Cross multiply
    2,976.34x = 4,464.96 × 785.24
  4. Step 4: Simplify right side
    2,976.34x = 3,506,042.87
  5. Step 5: Solve for x
    x = 3,506,042.87/2,976.34
  6. Step 6: Final answer
    x = 1,177.97

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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.