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Finding the Fourth Proportional to 2,912.94, 4,368.34 and 1,063.51

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Solution

The fourth proportional to 2,912.94, 4,368.34 and 1,063.51 is: 1,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.94 : 4,368.34 = 1,063.51 : x
  2. Step 2: Convert to fraction form
    2,912.94/4,368.34 = 1,063.51/x
  3. Step 3: Cross multiply
    2,912.94x = 4,368.34 × 1,063.51
  4. Step 4: Simplify right side
    2,912.94x = 4,645,759.69
  5. Step 5: Solve for x
    x = 4,645,759.69/2,912.94
  6. Step 6: Final answer
    x = 1,594.87

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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.