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Finding the Fourth Proportional to 2,263.74, 3,390.96 and 2,074.74

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Solution

The fourth proportional to 2,263.74, 3,390.96 and 2,074.74 is: 3,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.74 : 3,390.96 = 2,074.74 : x
  2. Step 2: Convert to fraction form
    2,263.74/3,390.96 = 2,074.74/x
  3. Step 3: Cross multiply
    2,263.74x = 3,390.96 × 2,074.74
  4. Step 4: Simplify right side
    2,263.74x = 7,035,360.35
  5. Step 5: Solve for x
    x = 7,035,360.35/2,263.74
  6. Step 6: Final answer
    x = 3,107.85

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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.