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Finding the Fourth Proportional to 2,048.67, 3,073.01 and 1,316.43

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Solution

The fourth proportional to 2,048.67, 3,073.01 and 1,316.43 is: 1,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.67 : 3,073.01 = 1,316.43 : x
  2. Step 2: Convert to fraction form
    2,048.67/3,073.01 = 1,316.43/x
  3. Step 3: Cross multiply
    2,048.67x = 3,073.01 × 1,316.43
  4. Step 4: Simplify right side
    2,048.67x = 4,045,395.97
  5. Step 5: Solve for x
    x = 4,045,395.97/2,048.67
  6. Step 6: Final answer
    x = 1,974.65

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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.