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Finding the Fourth Proportional to 2,002.46, 2,762.92 and 1,162.66

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Solution

The fourth proportional to 2,002.46, 2,762.92 and 1,162.66 is: 1,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.46 : 2,762.92 = 1,162.66 : x
  2. Step 2: Convert to fraction form
    2,002.46/2,762.92 = 1,162.66/x
  3. Step 3: Cross multiply
    2,002.46x = 2,762.92 × 1,162.66
  4. Step 4: Simplify right side
    2,002.46x = 3,212,349.89
  5. Step 5: Solve for x
    x = 3,212,349.89/2,002.46
  6. Step 6: Final answer
    x = 1,604.20

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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.