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Finding the Fourth Proportional to 3,002.58, 4,494.56 and 2,412.09

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Solution

The fourth proportional to 3,002.58, 4,494.56 and 2,412.09 is: 3,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.58 : 4,494.56 = 2,412.09 : x
  2. Step 2: Convert to fraction form
    3,002.58/4,494.56 = 2,412.09/x
  3. Step 3: Cross multiply
    3,002.58x = 4,494.56 × 2,412.09
  4. Step 4: Simplify right side
    3,002.58x = 10,841,271.17
  5. Step 5: Solve for x
    x = 10,841,271.17/3,002.58
  6. Step 6: Final answer
    x = 3,610.65

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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.