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Finding the Fourth Proportional to 2,077.01, 3,114.90 and 778.17

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Solution

The fourth proportional to 2,077.01, 3,114.90 and 778.17 is: 1,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.01 : 3,114.90 = 778.17 : x
  2. Step 2: Convert to fraction form
    2,077.01/3,114.90 = 778.17/x
  3. Step 3: Cross multiply
    2,077.01x = 3,114.90 × 778.17
  4. Step 4: Simplify right side
    2,077.01x = 2,423,921.73
  5. Step 5: Solve for x
    x = 2,423,921.73/2,077.01
  6. Step 6: Final answer
    x = 1,167.03

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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.