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Finding the Fourth Proportional to 2,043.87, 2,821.62 and 1,645.65

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Solution

The fourth proportional to 2,043.87, 2,821.62 and 1,645.65 is: 2,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.87 : 2,821.62 = 1,645.65 : x
  2. Step 2: Convert to fraction form
    2,043.87/2,821.62 = 1,645.65/x
  3. Step 3: Cross multiply
    2,043.87x = 2,821.62 × 1,645.65
  4. Step 4: Simplify right side
    2,043.87x = 4,643,398.95
  5. Step 5: Solve for x
    x = 4,643,398.95/2,043.87
  6. Step 6: Final answer
    x = 2,271.87

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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.