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Finding the Fourth Proportional to 2,263.80, 3,395.82 and 803.07

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Solution

The fourth proportional to 2,263.80, 3,395.82 and 803.07 is: 1,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.80 : 3,395.82 = 803.07 : x
  2. Step 2: Convert to fraction form
    2,263.80/3,395.82 = 803.07/x
  3. Step 3: Cross multiply
    2,263.80x = 3,395.82 × 803.07
  4. Step 4: Simplify right side
    2,263.80x = 2,727,081.17
  5. Step 5: Solve for x
    x = 2,727,081.17/2,263.80
  6. Step 6: Final answer
    x = 1,204.65

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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.