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Finding the Fourth Proportional to 1,882.64, 2,824.92 and 1,423.22

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Solution

The fourth proportional to 1,882.64, 2,824.92 and 1,423.22 is: 2,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.64 : 2,824.92 = 1,423.22 : x
  2. Step 2: Convert to fraction form
    1,882.64/2,824.92 = 1,423.22/x
  3. Step 3: Cross multiply
    1,882.64x = 2,824.92 × 1,423.22
  4. Step 4: Simplify right side
    1,882.64x = 4,020,482.64
  5. Step 5: Solve for x
    x = 4,020,482.64/1,882.64
  6. Step 6: Final answer
    x = 2,135.56

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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.