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Finding the Fourth Proportional to 2,263.06, 3,395.13 and 876.43

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Solution

The fourth proportional to 2,263.06, 3,395.13 and 876.43 is: 1,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.06 : 3,395.13 = 876.43 : x
  2. Step 2: Convert to fraction form
    2,263.06/3,395.13 = 876.43/x
  3. Step 3: Cross multiply
    2,263.06x = 3,395.13 × 876.43
  4. Step 4: Simplify right side
    2,263.06x = 2,975,593.79
  5. Step 5: Solve for x
    x = 2,975,593.79/2,263.06
  6. Step 6: Final answer
    x = 1,314.85

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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.