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Finding the Fourth Proportional to 2,330.84, 3,216.51 and 1,282.88

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Solution

The fourth proportional to 2,330.84, 3,216.51 and 1,282.88 is: 1,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.84 : 3,216.51 = 1,282.88 : x
  2. Step 2: Convert to fraction form
    2,330.84/3,216.51 = 1,282.88/x
  3. Step 3: Cross multiply
    2,330.84x = 3,216.51 × 1,282.88
  4. Step 4: Simplify right side
    2,330.84x = 4,126,380.27
  5. Step 5: Solve for x
    x = 4,126,380.27/2,330.84
  6. Step 6: Final answer
    x = 1,770.34

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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.