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Finding the Fourth Proportional to 2,605.98, 3,903.72 and 1,217.40

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Solution

The fourth proportional to 2,605.98, 3,903.72 and 1,217.40 is: 1,823.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.98 : 3,903.72 = 1,217.40 : x
  2. Step 2: Convert to fraction form
    2,605.98/3,903.72 = 1,217.40/x
  3. Step 3: Cross multiply
    2,605.98x = 3,903.72 × 1,217.40
  4. Step 4: Simplify right side
    2,605.98x = 4,752,388.73
  5. Step 5: Solve for x
    x = 4,752,388.73/2,605.98
  6. Step 6: Final answer
    x = 1,823.65

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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.