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Finding the Fourth Proportional to 2,329.94, 3,215.31 and 1,282

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Solution

The fourth proportional to 2,329.94, 3,215.31 and 1,282 is: 1,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.94 : 3,215.31 = 1,282 : x
  2. Step 2: Convert to fraction form
    2,329.94/3,215.31 = 1,282/x
  3. Step 3: Cross multiply
    2,329.94x = 3,215.31 × 1,282
  4. Step 4: Simplify right side
    2,329.94x = 4,122,032.23
  5. Step 5: Solve for x
    x = 4,122,032.23/2,329.94
  6. Step 6: Final answer
    x = 1,769.16

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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.