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Finding the Fourth Proportional to 1,641.97, 2,462.95 and 668.07

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Solution

The fourth proportional to 1,641.97, 2,462.95 and 668.07 is: 1,002.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.97 : 2,462.95 = 668.07 : x
  2. Step 2: Convert to fraction form
    1,641.97/2,462.95 = 668.07/x
  3. Step 3: Cross multiply
    1,641.97x = 2,462.95 × 668.07
  4. Step 4: Simplify right side
    1,641.97x = 1,645,423.01
  5. Step 5: Solve for x
    x = 1,645,423.01/1,641.97
  6. Step 6: Final answer
    x = 1,002.11

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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.