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Finding the Fourth Proportional to 3,602.80, 5,404.20 and 1,658.80

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Solution

The fourth proportional to 3,602.80, 5,404.20 and 1,658.80 is: 2,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.80 : 5,404.20 = 1,658.80 : x
  2. Step 2: Convert to fraction form
    3,602.80/5,404.20 = 1,658.80/x
  3. Step 3: Cross multiply
    3,602.80x = 5,404.20 × 1,658.80
  4. Step 4: Simplify right side
    3,602.80x = 8,964,486.96
  5. Step 5: Solve for x
    x = 8,964,486.96/3,602.80
  6. Step 6: Final answer
    x = 2,488.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.