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Finding the Fourth Proportional to 2,013.71, 3,020.36 and 917.78

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Solution

The fourth proportional to 2,013.71, 3,020.36 and 917.78 is: 1,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.71 : 3,020.36 = 917.78 : x
  2. Step 2: Convert to fraction form
    2,013.71/3,020.36 = 917.78/x
  3. Step 3: Cross multiply
    2,013.71x = 3,020.36 × 917.78
  4. Step 4: Simplify right side
    2,013.71x = 2,772,006.31
  5. Step 5: Solve for x
    x = 2,772,006.31/2,013.71
  6. Step 6: Final answer
    x = 1,376.57

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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.