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Finding the Fourth Proportional to 2,822.57, 4,230.80 and 1,589.66

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Solution

The fourth proportional to 2,822.57, 4,230.80 and 1,589.66 is: 2,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.57 : 4,230.80 = 1,589.66 : x
  2. Step 2: Convert to fraction form
    2,822.57/4,230.80 = 1,589.66/x
  3. Step 3: Cross multiply
    2,822.57x = 4,230.80 × 1,589.66
  4. Step 4: Simplify right side
    2,822.57x = 6,725,533.53
  5. Step 5: Solve for x
    x = 6,725,533.53/2,822.57
  6. Step 6: Final answer
    x = 2,382.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.