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Finding the Fourth Proportional to 2,642.59, 3,962.08 and 997.73

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Solution

The fourth proportional to 2,642.59, 3,962.08 and 997.73 is: 1,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.59 : 3,962.08 = 997.73 : x
  2. Step 2: Convert to fraction form
    2,642.59/3,962.08 = 997.73/x
  3. Step 3: Cross multiply
    2,642.59x = 3,962.08 × 997.73
  4. Step 4: Simplify right side
    2,642.59x = 3,953,104.66
  5. Step 5: Solve for x
    x = 3,953,104.66/2,642.59
  6. Step 6: Final answer
    x = 1,495.92

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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.