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Finding the Fourth Proportional to 2,927.76, 4,039.08 and 1,919.18

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Solution

The fourth proportional to 2,927.76, 4,039.08 and 1,919.18 is: 2,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.76 : 4,039.08 = 1,919.18 : x
  2. Step 2: Convert to fraction form
    2,927.76/4,039.08 = 1,919.18/x
  3. Step 3: Cross multiply
    2,927.76x = 4,039.08 × 1,919.18
  4. Step 4: Simplify right side
    2,927.76x = 7,751,721.55
  5. Step 5: Solve for x
    x = 7,751,721.55/2,927.76
  6. Step 6: Final answer
    x = 2,647.66

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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.