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Finding the Fourth Proportional to 2,002.42, 2,763.71 and 1,162.99

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Solution

The fourth proportional to 2,002.42, 2,763.71 and 1,162.99 is: 1,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.42 : 2,763.71 = 1,162.99 : x
  2. Step 2: Convert to fraction form
    2,002.42/2,763.71 = 1,162.99/x
  3. Step 3: Cross multiply
    2,002.42x = 2,763.71 × 1,162.99
  4. Step 4: Simplify right side
    2,002.42x = 3,214,167.09
  5. Step 5: Solve for x
    x = 3,214,167.09/2,002.42
  6. Step 6: Final answer
    x = 1,605.14

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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.