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Finding the Fourth Proportional to 2,263.43, 3,395.72 and 876.40

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Solution

The fourth proportional to 2,263.43, 3,395.72 and 876.40 is: 1,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.43 : 3,395.72 = 876.40 : x
  2. Step 2: Convert to fraction form
    2,263.43/3,395.72 = 876.40/x
  3. Step 3: Cross multiply
    2,263.43x = 3,395.72 × 876.40
  4. Step 4: Simplify right side
    2,263.43x = 2,976,002.71
  5. Step 5: Solve for x
    x = 2,976,002.71/2,263.43
  6. Step 6: Final answer
    x = 1,314.82

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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.