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Finding the Fourth Proportional to 2,378.84, 3,282.89 and 1,330.88

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Solution

The fourth proportional to 2,378.84, 3,282.89 and 1,330.88 is: 1,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.84 : 3,282.89 = 1,330.88 : x
  2. Step 2: Convert to fraction form
    2,378.84/3,282.89 = 1,330.88/x
  3. Step 3: Cross multiply
    2,378.84x = 3,282.89 × 1,330.88
  4. Step 4: Simplify right side
    2,378.84x = 4,369,109.57
  5. Step 5: Solve for x
    x = 4,369,109.57/2,378.84
  6. Step 6: Final answer
    x = 1,836.66

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1.5x scale

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.