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Finding the Fourth Proportional to 2,965.77, 4,094.15 and 1,918.17

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Solution

The fourth proportional to 2,965.77, 4,094.15 and 1,918.17 is: 2,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.77 : 4,094.15 = 1,918.17 : x
  2. Step 2: Convert to fraction form
    2,965.77/4,094.15 = 1,918.17/x
  3. Step 3: Cross multiply
    2,965.77x = 4,094.15 × 1,918.17
  4. Step 4: Simplify right side
    2,965.77x = 7,853,266.11
  5. Step 5: Solve for x
    x = 7,853,266.11/2,965.77
  6. Step 6: Final answer
    x = 2,647.97

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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.