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Finding the Fourth Proportional to 4,441.82, 6,665.61 and 1,978.14

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Solution

The fourth proportional to 4,441.82, 6,665.61 and 1,978.14 is: 2,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,441.82 : 6,665.61 = 1,978.14 : x
  2. Step 2: Convert to fraction form
    4,441.82/6,665.61 = 1,978.14/x
  3. Step 3: Cross multiply
    4,441.82x = 6,665.61 × 1,978.14
  4. Step 4: Simplify right side
    4,441.82x = 13,185,509.77
  5. Step 5: Solve for x
    x = 13,185,509.77/4,441.82
  6. Step 6: Final answer
    x = 2,968.49

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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.