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Finding the Fourth Proportional to 2,405.89, 3,599.28 and 1,822.57

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Solution

The fourth proportional to 2,405.89, 3,599.28 and 1,822.57 is: 2,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.89 : 3,599.28 = 1,822.57 : x
  2. Step 2: Convert to fraction form
    2,405.89/3,599.28 = 1,822.57/x
  3. Step 3: Cross multiply
    2,405.89x = 3,599.28 × 1,822.57
  4. Step 4: Simplify right side
    2,405.89x = 6,559,939.75
  5. Step 5: Solve for x
    x = 6,559,939.75/2,405.89
  6. Step 6: Final answer
    x = 2,726.62

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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.