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Finding the Fourth Proportional to 2,912.80, 4,358.94 and 2,386.48

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Solution

The fourth proportional to 2,912.80, 4,358.94 and 2,386.48 is: 3,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.80 : 4,358.94 = 2,386.48 : x
  2. Step 2: Convert to fraction form
    2,912.80/4,358.94 = 2,386.48/x
  3. Step 3: Cross multiply
    2,912.80x = 4,358.94 × 2,386.48
  4. Step 4: Simplify right side
    2,912.80x = 10,402,523.13
  5. Step 5: Solve for x
    x = 10,402,523.13/2,912.80
  6. Step 6: Final answer
    x = 3,571.31

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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.