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Finding the Fourth Proportional to 2,065.49, 3,079.86 and 2,039.99

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Solution

The fourth proportional to 2,065.49, 3,079.86 and 2,039.99 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.49 : 3,079.86 = 2,039.99 : x
  2. Step 2: Convert to fraction form
    2,065.49/3,079.86 = 2,039.99/x
  3. Step 3: Cross multiply
    2,065.49x = 3,079.86 × 2,039.99
  4. Step 4: Simplify right side
    2,065.49x = 6,282,873.40
  5. Step 5: Solve for x
    x = 6,282,873.40/2,065.49
  6. Step 6: Final answer
    x = 3,041.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.