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Finding the Fourth Proportional to 2,548.54, 3,822.99 and 817.06

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Solution

The fourth proportional to 2,548.54, 3,822.99 and 817.06 is: 1,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.54 : 3,822.99 = 817.06 : x
  2. Step 2: Convert to fraction form
    2,548.54/3,822.99 = 817.06/x
  3. Step 3: Cross multiply
    2,548.54x = 3,822.99 × 817.06
  4. Step 4: Simplify right side
    2,548.54x = 3,123,612.21
  5. Step 5: Solve for x
    x = 3,123,612.21/2,548.54
  6. Step 6: Final answer
    x = 1,225.65

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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.