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Finding the Fourth Proportional to 2,077.70, 3,116.95 and 779.13

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Solution

The fourth proportional to 2,077.70, 3,116.95 and 779.13 is: 1,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.70 : 3,116.95 = 779.13 : x
  2. Step 2: Convert to fraction form
    2,077.70/3,116.95 = 779.13/x
  3. Step 3: Cross multiply
    2,077.70x = 3,116.95 × 779.13
  4. Step 4: Simplify right side
    2,077.70x = 2,428,507.31
  5. Step 5: Solve for x
    x = 2,428,507.31/2,077.70
  6. Step 6: Final answer
    x = 1,168.85

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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.