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Finding the Fourth Proportional to 2,062.09, 3,108.54 and 1,886.95

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Solution

The fourth proportional to 2,062.09, 3,108.54 and 1,886.95 is: 2,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.09 : 3,108.54 = 1,886.95 : x
  2. Step 2: Convert to fraction form
    2,062.09/3,108.54 = 1,886.95/x
  3. Step 3: Cross multiply
    2,062.09x = 3,108.54 × 1,886.95
  4. Step 4: Simplify right side
    2,062.09x = 5,865,659.55
  5. Step 5: Solve for x
    x = 5,865,659.55/2,062.09
  6. Step 6: Final answer
    x = 2,844.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.