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Finding the Fourth Proportional to 1,975.68, 2,964.24 and 822.24

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Solution

The fourth proportional to 1,975.68, 2,964.24 and 822.24 is: 1,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.68 : 2,964.24 = 822.24 : x
  2. Step 2: Convert to fraction form
    1,975.68/2,964.24 = 822.24/x
  3. Step 3: Cross multiply
    1,975.68x = 2,964.24 × 822.24
  4. Step 4: Simplify right side
    1,975.68x = 2,437,316.70
  5. Step 5: Solve for x
    x = 2,437,316.70/1,975.68
  6. Step 6: Final answer
    x = 1,233.66

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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.