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Finding the Fourth Proportional to 2,571.84, 3,855.07 and 1,186.13

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Solution

The fourth proportional to 2,571.84, 3,855.07 and 1,186.13 is: 1,777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.84 : 3,855.07 = 1,186.13 : x
  2. Step 2: Convert to fraction form
    2,571.84/3,855.07 = 1,186.13/x
  3. Step 3: Cross multiply
    2,571.84x = 3,855.07 × 1,186.13
  4. Step 4: Simplify right side
    2,571.84x = 4,572,614.18
  5. Step 5: Solve for x
    x = 4,572,614.18/2,571.84
  6. Step 6: Final answer
    x = 1,777.95

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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.