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Finding the Fourth Proportional to 2,264.37, 3,395.54 and 876.65

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Solution

The fourth proportional to 2,264.37, 3,395.54 and 876.65 is: 1,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.37 : 3,395.54 = 876.65 : x
  2. Step 2: Convert to fraction form
    2,264.37/3,395.54 = 876.65/x
  3. Step 3: Cross multiply
    2,264.37x = 3,395.54 × 876.65
  4. Step 4: Simplify right side
    2,264.37x = 2,976,678.78
  5. Step 5: Solve for x
    x = 2,976,678.78/2,264.37
  6. Step 6: Final answer
    x = 1,314.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.