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Finding the Fourth Proportional to 2,643.76, 3,648.42 and 1,595.62

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Solution

The fourth proportional to 2,643.76, 3,648.42 and 1,595.62 is: 2,201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.76 : 3,648.42 = 1,595.62 : x
  2. Step 2: Convert to fraction form
    2,643.76/3,648.42 = 1,595.62/x
  3. Step 3: Cross multiply
    2,643.76x = 3,648.42 × 1,595.62
  4. Step 4: Simplify right side
    2,643.76x = 5,821,491.92
  5. Step 5: Solve for x
    x = 5,821,491.92/2,643.76
  6. Step 6: Final answer
    x = 2,201.97

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