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Finding the Fourth Proportional to 1,978.59, 2,729.07 and 1,605.57

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Solution

The fourth proportional to 1,978.59, 2,729.07 and 1,605.57 is: 2,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.59 : 2,729.07 = 1,605.57 : x
  2. Step 2: Convert to fraction form
    1,978.59/2,729.07 = 1,605.57/x
  3. Step 3: Cross multiply
    1,978.59x = 2,729.07 × 1,605.57
  4. Step 4: Simplify right side
    1,978.59x = 4,381,712.92
  5. Step 5: Solve for x
    x = 4,381,712.92/1,978.59
  6. Step 6: Final answer
    x = 2,214.56

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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.