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Finding the Fourth Proportional to 2,912.47, 4,019.29 and 1,586.19

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Solution

The fourth proportional to 2,912.47, 4,019.29 and 1,586.19 is: 2,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.47 : 4,019.29 = 1,586.19 : x
  2. Step 2: Convert to fraction form
    2,912.47/4,019.29 = 1,586.19/x
  3. Step 3: Cross multiply
    2,912.47x = 4,019.29 × 1,586.19
  4. Step 4: Simplify right side
    2,912.47x = 6,375,368.71
  5. Step 5: Solve for x
    x = 6,375,368.71/2,912.47
  6. Step 6: Final answer
    x = 2,188.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.