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Finding the Fourth Proportional to 2,836.95, 3,914.96 and 1,578

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Solution

The fourth proportional to 2,836.95, 3,914.96 and 1,578 is: 2,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.95 : 3,914.96 = 1,578 : x
  2. Step 2: Convert to fraction form
    2,836.95/3,914.96 = 1,578/x
  3. Step 3: Cross multiply
    2,836.95x = 3,914.96 × 1,578
  4. Step 4: Simplify right side
    2,836.95x = 6,177,798.99
  5. Step 5: Solve for x
    x = 6,177,798.99/2,836.95
  6. Step 6: Final answer
    x = 2,177.62

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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.