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Finding the Fourth Proportional to 1,978.58, 2,729.11 and 1,558.23

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Solution

The fourth proportional to 1,978.58, 2,729.11 and 1,558.23 is: 2,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.58 : 2,729.11 = 1,558.23 : x
  2. Step 2: Convert to fraction form
    1,978.58/2,729.11 = 1,558.23/x
  3. Step 3: Cross multiply
    1,978.58x = 2,729.11 × 1,558.23
  4. Step 4: Simplify right side
    1,978.58x = 4,252,581.08
  5. Step 5: Solve for x
    x = 4,252,581.08/1,978.58
  6. Step 6: Final answer
    x = 2,149.31

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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.