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Finding the Fourth Proportional to 1,917.69, 2,876.25 and 601.14

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Solution

The fourth proportional to 1,917.69, 2,876.25 and 601.14 is: 901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.69 : 2,876.25 = 601.14 : x
  2. Step 2: Convert to fraction form
    1,917.69/2,876.25 = 601.14/x
  3. Step 3: Cross multiply
    1,917.69x = 2,876.25 × 601.14
  4. Step 4: Simplify right side
    1,917.69x = 1,729,028.93
  5. Step 5: Solve for x
    x = 1,729,028.93/1,917.69
  6. Step 6: Final answer
    x = 901.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.