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Finding the Fourth Proportional to 2,293.12, 3,441.65 and 2,275.86

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Solution

The fourth proportional to 2,293.12, 3,441.65 and 2,275.86 is: 3,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.12 : 3,441.65 = 2,275.86 : x
  2. Step 2: Convert to fraction form
    2,293.12/3,441.65 = 2,275.86/x
  3. Step 3: Cross multiply
    2,293.12x = 3,441.65 × 2,275.86
  4. Step 4: Simplify right side
    2,293.12x = 7,832,721.50
  5. Step 5: Solve for x
    x = 7,832,721.50/2,293.12
  6. Step 6: Final answer
    x = 3,415.75

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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.