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Finding the Fourth Proportional to 2,978.01, 4,110.14 and 2,268.72

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Solution

The fourth proportional to 2,978.01, 4,110.14 and 2,268.72 is: 3,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.01 : 4,110.14 = 2,268.72 : x
  2. Step 2: Convert to fraction form
    2,978.01/4,110.14 = 2,268.72/x
  3. Step 3: Cross multiply
    2,978.01x = 4,110.14 × 2,268.72
  4. Step 4: Simplify right side
    2,978.01x = 9,324,756.82
  5. Step 5: Solve for x
    x = 9,324,756.82/2,978.01
  6. Step 6: Final answer
    x = 3,131.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.