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Finding the Fourth Proportional to 1,540.93, 2,126.49 and 842.32

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Solution

The fourth proportional to 1,540.93, 2,126.49 and 842.32 is: 1,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.93 : 2,126.49 = 842.32 : x
  2. Step 2: Convert to fraction form
    1,540.93/2,126.49 = 842.32/x
  3. Step 3: Cross multiply
    1,540.93x = 2,126.49 × 842.32
  4. Step 4: Simplify right side
    1,540.93x = 1,791,185.06
  5. Step 5: Solve for x
    x = 1,791,185.06/1,540.93
  6. Step 6: Final answer
    x = 1,162.41

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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.