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Finding the Fourth Proportional to 2,693.16, 3,713.20 and 2,027.16

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Solution

The fourth proportional to 2,693.16, 3,713.20 and 2,027.16 is: 2,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.16 : 3,713.20 = 2,027.16 : x
  2. Step 2: Convert to fraction form
    2,693.16/3,713.20 = 2,027.16/x
  3. Step 3: Cross multiply
    2,693.16x = 3,713.20 × 2,027.16
  4. Step 4: Simplify right side
    2,693.16x = 7,527,250.51
  5. Step 5: Solve for x
    x = 7,527,250.51/2,693.16
  6. Step 6: Final answer
    x = 2,794.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.