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Finding the Fourth Proportional to 2,077.10, 3,139.99 and 2,077.10

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Solution

The fourth proportional to 2,077.10, 3,139.99 and 2,077.10 is: 3,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.10 : 3,139.99 = 2,077.10 : x
  2. Step 2: Convert to fraction form
    2,077.10/3,139.99 = 2,077.10/x
  3. Step 3: Cross multiply
    2,077.10x = 3,139.99 × 2,077.10
  4. Step 4: Simplify right side
    2,077.10x = 6,522,073.23
  5. Step 5: Solve for x
    x = 6,522,073.23/2,077.10
  6. Step 6: Final answer
    x = 3,139.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.