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Finding the Fourth Proportional to 2,888.84, 3,982.35 and 2,046.93

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Solution

The fourth proportional to 2,888.84, 3,982.35 and 2,046.93 is: 2,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.84 : 3,982.35 = 2,046.93 : x
  2. Step 2: Convert to fraction form
    2,888.84/3,982.35 = 2,046.93/x
  3. Step 3: Cross multiply
    2,888.84x = 3,982.35 × 2,046.93
  4. Step 4: Simplify right side
    2,888.84x = 8,151,591.69
  5. Step 5: Solve for x
    x = 8,151,591.69/2,888.84
  6. Step 6: Final answer
    x = 2,821.76

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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.