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Finding the Fourth Proportional to 1,882.17, 2,822.29 and 786.24

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Solution

The fourth proportional to 1,882.17, 2,822.29 and 786.24 is: 1,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.17 : 2,822.29 = 786.24 : x
  2. Step 2: Convert to fraction form
    1,882.17/2,822.29 = 786.24/x
  3. Step 3: Cross multiply
    1,882.17x = 2,822.29 × 786.24
  4. Step 4: Simplify right side
    1,882.17x = 2,218,997.29
  5. Step 5: Solve for x
    x = 2,218,997.29/1,882.17
  6. Step 6: Final answer
    x = 1,178.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.