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Finding the Fourth Proportional to 2,381.61, 3,571.51 and 822.16

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Solution

The fourth proportional to 2,381.61, 3,571.51 and 822.16 is: 1,232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.61 : 3,571.51 = 822.16 : x
  2. Step 2: Convert to fraction form
    2,381.61/3,571.51 = 822.16/x
  3. Step 3: Cross multiply
    2,381.61x = 3,571.51 × 822.16
  4. Step 4: Simplify right side
    2,381.61x = 2,936,352.66
  5. Step 5: Solve for x
    x = 2,936,352.66/2,381.61
  6. Step 6: Final answer
    x = 1,232.93

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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.