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Finding the Fourth Proportional to 2,246.37, 3,099.10 and 1,406.71

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Solution

The fourth proportional to 2,246.37, 3,099.10 and 1,406.71 is: 1,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.37 : 3,099.10 = 1,406.71 : x
  2. Step 2: Convert to fraction form
    2,246.37/3,099.10 = 1,406.71/x
  3. Step 3: Cross multiply
    2,246.37x = 3,099.10 × 1,406.71
  4. Step 4: Simplify right side
    2,246.37x = 4,359,534.96
  5. Step 5: Solve for x
    x = 4,359,534.96/2,246.37
  6. Step 6: Final answer
    x = 1,940.70

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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.