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Finding the Fourth Proportional to 2,762.11, 4,143.30 and 913.18

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Solution

The fourth proportional to 2,762.11, 4,143.30 and 913.18 is: 1,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.11 : 4,143.30 = 913.18 : x
  2. Step 2: Convert to fraction form
    2,762.11/4,143.30 = 913.18/x
  3. Step 3: Cross multiply
    2,762.11x = 4,143.30 × 913.18
  4. Step 4: Simplify right side
    2,762.11x = 3,783,574.13
  5. Step 5: Solve for x
    x = 3,783,574.13/2,762.11
  6. Step 6: Final answer
    x = 1,369.81

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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.