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Finding the Fourth Proportional to 1,642.18, 2,463.46 and 668.30

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Solution

The fourth proportional to 1,642.18, 2,463.46 and 668.30 is: 1,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.18 : 2,463.46 = 668.30 : x
  2. Step 2: Convert to fraction form
    1,642.18/2,463.46 = 668.30/x
  3. Step 3: Cross multiply
    1,642.18x = 2,463.46 × 668.30
  4. Step 4: Simplify right side
    1,642.18x = 1,646,330.32
  5. Step 5: Solve for x
    x = 1,646,330.32/1,642.18
  6. Step 6: Final answer
    x = 1,002.53

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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.