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Finding the Fourth Proportional to 2,283.04, 3,424.55 and 822.19

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Solution

The fourth proportional to 2,283.04, 3,424.55 and 822.19 is: 1,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.04 : 3,424.55 = 822.19 : x
  2. Step 2: Convert to fraction form
    2,283.04/3,424.55 = 822.19/x
  3. Step 3: Cross multiply
    2,283.04x = 3,424.55 × 822.19
  4. Step 4: Simplify right side
    2,283.04x = 2,815,624.26
  5. Step 5: Solve for x
    x = 2,815,624.26/2,283.04
  6. Step 6: Final answer
    x = 1,233.28

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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.