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Finding the Fourth Proportional to 2,079.88, 3,101.78 and 1,773.70

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Solution

The fourth proportional to 2,079.88, 3,101.78 and 1,773.70 is: 2,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.88 : 3,101.78 = 1,773.70 : x
  2. Step 2: Convert to fraction form
    2,079.88/3,101.78 = 1,773.70/x
  3. Step 3: Cross multiply
    2,079.88x = 3,101.78 × 1,773.70
  4. Step 4: Simplify right side
    2,079.88x = 5,501,643.81
  5. Step 5: Solve for x
    x = 5,501,643.81/2,079.88
  6. Step 6: Final answer
    x = 2,645.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.