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Finding the Fourth Proportional to 2,912.66, 4,369.14 and 1,064.34

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Solution

The fourth proportional to 2,912.66, 4,369.14 and 1,064.34 is: 1,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.66 : 4,369.14 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    2,912.66/4,369.14 = 1,064.34/x
  3. Step 3: Cross multiply
    2,912.66x = 4,369.14 × 1,064.34
  4. Step 4: Simplify right side
    2,912.66x = 4,650,250.47
  5. Step 5: Solve for x
    x = 4,650,250.47/2,912.66
  6. Step 6: Final answer
    x = 1,596.57

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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.