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Finding the Fourth Proportional to 2,605.98, 3,909.42 and 1,145.28

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Solution

The fourth proportional to 2,605.98, 3,909.42 and 1,145.28 is: 1,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.98 : 3,909.42 = 1,145.28 : x
  2. Step 2: Convert to fraction form
    2,605.98/3,909.42 = 1,145.28/x
  3. Step 3: Cross multiply
    2,605.98x = 3,909.42 × 1,145.28
  4. Step 4: Simplify right side
    2,605.98x = 4,477,380.54
  5. Step 5: Solve for x
    x = 4,477,380.54/2,605.98
  6. Step 6: Final answer
    x = 1,718.12

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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.