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Finding the Fourth Proportional to 2,927.50, 4,035.03 and 2,219.12

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Solution

The fourth proportional to 2,927.50, 4,035.03 and 2,219.12 is: 3,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.50 : 4,035.03 = 2,219.12 : x
  2. Step 2: Convert to fraction form
    2,927.50/4,035.03 = 2,219.12/x
  3. Step 3: Cross multiply
    2,927.50x = 4,035.03 × 2,219.12
  4. Step 4: Simplify right side
    2,927.50x = 8,954,195.60
  5. Step 5: Solve for x
    x = 8,954,195.60/2,927.50
  6. Step 6: Final answer
    x = 3,058.65

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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.