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Finding the Fourth Proportional to 2,065.59, 3,098.38 and 1,026.88

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Solution

The fourth proportional to 2,065.59, 3,098.38 and 1,026.88 is: 1,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.59 : 3,098.38 = 1,026.88 : x
  2. Step 2: Convert to fraction form
    2,065.59/3,098.38 = 1,026.88/x
  3. Step 3: Cross multiply
    2,065.59x = 3,098.38 × 1,026.88
  4. Step 4: Simplify right side
    2,065.59x = 3,181,664.45
  5. Step 5: Solve for x
    x = 3,181,664.45/2,065.59
  6. Step 6: Final answer
    x = 1,540.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.