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Finding the Fourth Proportional to 2,976.95, 4,468.11 and 2,187.32

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Solution

The fourth proportional to 2,976.95, 4,468.11 and 2,187.32 is: 3,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.95 : 4,468.11 = 2,187.32 : x
  2. Step 2: Convert to fraction form
    2,976.95/4,468.11 = 2,187.32/x
  3. Step 3: Cross multiply
    2,976.95x = 4,468.11 × 2,187.32
  4. Step 4: Simplify right side
    2,976.95x = 9,773,164.02
  5. Step 5: Solve for x
    x = 9,773,164.02/2,976.95
  6. Step 6: Final answer
    x = 3,282.94

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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.