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Finding the Fourth Proportional to 2,074.35, 2,862.03 and 1,444.17

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Solution

The fourth proportional to 2,074.35, 2,862.03 and 1,444.17 is: 1,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.35 : 2,862.03 = 1,444.17 : x
  2. Step 2: Convert to fraction form
    2,074.35/2,862.03 = 1,444.17/x
  3. Step 3: Cross multiply
    2,074.35x = 2,862.03 × 1,444.17
  4. Step 4: Simplify right side
    2,074.35x = 4,133,257.87
  5. Step 5: Solve for x
    x = 4,133,257.87/2,074.35
  6. Step 6: Final answer
    x = 1,992.56

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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.