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Finding the Fourth Proportional to 2,886.84, 3,982.50 and 1,824.12

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Solution

The fourth proportional to 2,886.84, 3,982.50 and 1,824.12 is: 2,516.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.84 : 3,982.50 = 1,824.12 : x
  2. Step 2: Convert to fraction form
    2,886.84/3,982.50 = 1,824.12/x
  3. Step 3: Cross multiply
    2,886.84x = 3,982.50 × 1,824.12
  4. Step 4: Simplify right side
    2,886.84x = 7,264,557.90
  5. Step 5: Solve for x
    x = 7,264,557.90/2,886.84
  6. Step 6: Final answer
    x = 2,516.44

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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.