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Finding the Fourth Proportional to 2,182.68, 3,274.02 and 643.32

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Solution

The fourth proportional to 2,182.68, 3,274.02 and 643.32 is: 964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.68 : 3,274.02 = 643.32 : x
  2. Step 2: Convert to fraction form
    2,182.68/3,274.02 = 643.32/x
  3. Step 3: Cross multiply
    2,182.68x = 3,274.02 × 643.32
  4. Step 4: Simplify right side
    2,182.68x = 2,106,242.55
  5. Step 5: Solve for x
    x = 2,106,242.55/2,182.68
  6. Step 6: Final answer
    x = 964.98

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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.