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Finding the Fourth Proportional to 2,282.83, 3,423.32 and 967.18

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Solution

The fourth proportional to 2,282.83, 3,423.32 and 967.18 is: 1,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.83 : 3,423.32 = 967.18 : x
  2. Step 2: Convert to fraction form
    2,282.83/3,423.32 = 967.18/x
  3. Step 3: Cross multiply
    2,282.83x = 3,423.32 × 967.18
  4. Step 4: Simplify right side
    2,282.83x = 3,310,966.64
  5. Step 5: Solve for x
    x = 3,310,966.64/2,282.83
  6. Step 6: Final answer
    x = 1,450.38

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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.