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Finding the Fourth Proportional to 2,209.80, 3,044.64 and 1,462.44

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Solution

The fourth proportional to 2,209.80, 3,044.64 and 1,462.44 is: 2,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.80 : 3,044.64 = 1,462.44 : x
  2. Step 2: Convert to fraction form
    2,209.80/3,044.64 = 1,462.44/x
  3. Step 3: Cross multiply
    2,209.80x = 3,044.64 × 1,462.44
  4. Step 4: Simplify right side
    2,209.80x = 4,452,603.32
  5. Step 5: Solve for x
    x = 4,452,603.32/2,209.80
  6. Step 6: Final answer
    x = 2,014.93

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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.