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Finding the Fourth Proportional to 2,065.98, 3,098.49 and 1,039.74

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Solution

The fourth proportional to 2,065.98, 3,098.49 and 1,039.74 is: 1,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.98 : 3,098.49 = 1,039.74 : x
  2. Step 2: Convert to fraction form
    2,065.98/3,098.49 = 1,039.74/x
  3. Step 3: Cross multiply
    2,065.98x = 3,098.49 × 1,039.74
  4. Step 4: Simplify right side
    2,065.98x = 3,221,623.99
  5. Step 5: Solve for x
    x = 3,221,623.99/2,065.98
  6. Step 6: Final answer
    x = 1,559.37

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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.