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Finding the Fourth Proportional to 3,633.74, 5,449.55 and 1,658.25

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Solution

The fourth proportional to 3,633.74, 5,449.55 and 1,658.25 is: 2,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.74 : 5,449.55 = 1,658.25 : x
  2. Step 2: Convert to fraction form
    3,633.74/5,449.55 = 1,658.25/x
  3. Step 3: Cross multiply
    3,633.74x = 5,449.55 × 1,658.25
  4. Step 4: Simplify right side
    3,633.74x = 9,036,708.00
  5. Step 5: Solve for x
    x = 9,036,708.00/3,633.74
  6. Step 6: Final answer
    x = 2,486.89

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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.