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Finding the Fourth Proportional to 3,005.80, 4,509.44 and 1,521.36

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Solution

The fourth proportional to 3,005.80, 4,509.44 and 1,521.36 is: 2,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.80 : 4,509.44 = 1,521.36 : x
  2. Step 2: Convert to fraction form
    3,005.80/4,509.44 = 1,521.36/x
  3. Step 3: Cross multiply
    3,005.80x = 4,509.44 × 1,521.36
  4. Step 4: Simplify right side
    3,005.80x = 6,860,481.64
  5. Step 5: Solve for x
    x = 6,860,481.64/3,005.80
  6. Step 6: Final answer
    x = 2,282.41

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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.