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Finding the Fourth Proportional to 2,403.61, 3,311.70 and 1,616.29

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Solution

The fourth proportional to 2,403.61, 3,311.70 and 1,616.29 is: 2,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.61 : 3,311.70 = 1,616.29 : x
  2. Step 2: Convert to fraction form
    2,403.61/3,311.70 = 1,616.29/x
  3. Step 3: Cross multiply
    2,403.61x = 3,311.70 × 1,616.29
  4. Step 4: Simplify right side
    2,403.61x = 5,352,667.59
  5. Step 5: Solve for x
    x = 5,352,667.59/2,403.61
  6. Step 6: Final answer
    x = 2,226.93

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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.