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Finding the Fourth Proportional to 2,328.65, 3,213.54 and 1,280.71

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Solution

The fourth proportional to 2,328.65, 3,213.54 and 1,280.71 is: 1,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.65 : 3,213.54 = 1,280.71 : x
  2. Step 2: Convert to fraction form
    2,328.65/3,213.54 = 1,280.71/x
  3. Step 3: Cross multiply
    2,328.65x = 3,213.54 × 1,280.71
  4. Step 4: Simplify right side
    2,328.65x = 4,115,612.03
  5. Step 5: Solve for x
    x = 4,115,612.03/2,328.65
  6. Step 6: Final answer
    x = 1,767.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.