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Finding the Fourth Proportional to 2,770.84, 3,824.10 and 1,592.08

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Solution

The fourth proportional to 2,770.84, 3,824.10 and 1,592.08 is: 2,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.84 : 3,824.10 = 1,592.08 : x
  2. Step 2: Convert to fraction form
    2,770.84/3,824.10 = 1,592.08/x
  3. Step 3: Cross multiply
    2,770.84x = 3,824.10 × 1,592.08
  4. Step 4: Simplify right side
    2,770.84x = 6,088,273.13
  5. Step 5: Solve for x
    x = 6,088,273.13/2,770.84
  6. Step 6: Final answer
    x = 2,197.27

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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.