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Finding the Fourth Proportional to 2,328, 3,212.64 and 1,280.16

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Solution

The fourth proportional to 2,328, 3,212.64 and 1,280.16 is: 1,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328 : 3,212.64 = 1,280.16 : x
  2. Step 2: Convert to fraction form
    2,328/3,212.64 = 1,280.16/x
  3. Step 3: Cross multiply
    2,328x = 3,212.64 × 1,280.16
  4. Step 4: Simplify right side
    2,328x = 4,112,693.22
  5. Step 5: Solve for x
    x = 4,112,693.22/2,328
  6. Step 6: Final answer
    x = 1,766.62

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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.