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Finding the Fourth Proportional to 2,328.52, 3,213.08 and 1,280.38

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Solution

The fourth proportional to 2,328.52, 3,213.08 and 1,280.38 is: 1,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.52 : 3,213.08 = 1,280.38 : x
  2. Step 2: Convert to fraction form
    2,328.52/3,213.08 = 1,280.38/x
  3. Step 3: Cross multiply
    2,328.52x = 3,213.08 × 1,280.38
  4. Step 4: Simplify right side
    2,328.52x = 4,113,963.37
  5. Step 5: Solve for x
    x = 4,113,963.37/2,328.52
  6. Step 6: Final answer
    x = 1,766.77

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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.