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Finding the Fourth Proportional to 2,325.48, 3,488.06 and 1,808.80

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Solution

The fourth proportional to 2,325.48, 3,488.06 and 1,808.80 is: 2,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.48 : 3,488.06 = 1,808.80 : x
  2. Step 2: Convert to fraction form
    2,325.48/3,488.06 = 1,808.80/x
  3. Step 3: Cross multiply
    2,325.48x = 3,488.06 × 1,808.80
  4. Step 4: Simplify right side
    2,325.48x = 6,309,198.73
  5. Step 5: Solve for x
    x = 6,309,198.73/2,325.48
  6. Step 6: Final answer
    x = 2,713.08

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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.