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Finding the Fourth Proportional to 2,404.90, 3,602.67 and 1,580.69

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Solution

The fourth proportional to 2,404.90, 3,602.67 and 1,580.69 is: 2,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.90 : 3,602.67 = 1,580.69 : x
  2. Step 2: Convert to fraction form
    2,404.90/3,602.67 = 1,580.69/x
  3. Step 3: Cross multiply
    2,404.90x = 3,602.67 × 1,580.69
  4. Step 4: Simplify right side
    2,404.90x = 5,694,704.44
  5. Step 5: Solve for x
    x = 5,694,704.44/2,404.90
  6. Step 6: Final answer
    x = 2,367.96

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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.