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Finding the Fourth Proportional to 1,822.62, 2,732.52 and 944.16

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Solution

The fourth proportional to 1,822.62, 2,732.52 and 944.16 is: 1,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.62 : 2,732.52 = 944.16 : x
  2. Step 2: Convert to fraction form
    1,822.62/2,732.52 = 944.16/x
  3. Step 3: Cross multiply
    1,822.62x = 2,732.52 × 944.16
  4. Step 4: Simplify right side
    1,822.62x = 2,579,936.08
  5. Step 5: Solve for x
    x = 2,579,936.08/1,822.62
  6. Step 6: Final answer
    x = 1,415.51

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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.