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Finding the Fourth Proportional to 2,041.87, 2,815.29 and 1,726.57

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Solution

The fourth proportional to 2,041.87, 2,815.29 and 1,726.57 is: 2,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.87 : 2,815.29 = 1,726.57 : x
  2. Step 2: Convert to fraction form
    2,041.87/2,815.29 = 1,726.57/x
  3. Step 3: Cross multiply
    2,041.87x = 2,815.29 × 1,726.57
  4. Step 4: Simplify right side
    2,041.87x = 4,860,795.26
  5. Step 5: Solve for x
    x = 4,860,795.26/2,041.87
  6. Step 6: Final answer
    x = 2,380.56

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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.