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Finding the Fourth Proportional to 2,263.82, 3,390.19 and 1,568.57

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Solution

The fourth proportional to 2,263.82, 3,390.19 and 1,568.57 is: 2,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.82 : 3,390.19 = 1,568.57 : x
  2. Step 2: Convert to fraction form
    2,263.82/3,390.19 = 1,568.57/x
  3. Step 3: Cross multiply
    2,263.82x = 3,390.19 × 1,568.57
  4. Step 4: Simplify right side
    2,263.82x = 5,317,729.46
  5. Step 5: Solve for x
    x = 5,317,729.46/2,263.82
  6. Step 6: Final answer
    x = 2,349.01

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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.