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Finding the Fourth Proportional to 2,320.08, 3,202.08 and 1,375.76

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Solution

The fourth proportional to 2,320.08, 3,202.08 and 1,375.76 is: 1,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.08 : 3,202.08 = 1,375.76 : x
  2. Step 2: Convert to fraction form
    2,320.08/3,202.08 = 1,375.76/x
  3. Step 3: Cross multiply
    2,320.08x = 3,202.08 × 1,375.76
  4. Step 4: Simplify right side
    2,320.08x = 4,405,293.58
  5. Step 5: Solve for x
    x = 4,405,293.58/2,320.08
  6. Step 6: Final answer
    x = 1,898.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.