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Finding the Fourth Proportional to 3,002.22, 4,505.34 and 1,054.44

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Solution

The fourth proportional to 3,002.22, 4,505.34 and 1,054.44 is: 1,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.22 : 4,505.34 = 1,054.44 : x
  2. Step 2: Convert to fraction form
    3,002.22/4,505.34 = 1,054.44/x
  3. Step 3: Cross multiply
    3,002.22x = 4,505.34 × 1,054.44
  4. Step 4: Simplify right side
    3,002.22x = 4,750,610.71
  5. Step 5: Solve for x
    x = 4,750,610.71/3,002.22
  6. Step 6: Final answer
    x = 1,582.37

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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.