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Finding the Fourth Proportional to 2,459.34, 3,689.69 and 1,844.24

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Solution

The fourth proportional to 2,459.34, 3,689.69 and 1,844.24 is: 2,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.34 : 3,689.69 = 1,844.24 : x
  2. Step 2: Convert to fraction form
    2,459.34/3,689.69 = 1,844.24/x
  3. Step 3: Cross multiply
    2,459.34x = 3,689.69 × 1,844.24
  4. Step 4: Simplify right side
    2,459.34x = 6,804,646.22
  5. Step 5: Solve for x
    x = 6,804,646.22/2,459.34
  6. Step 6: Final answer
    x = 2,766.86

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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.