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Finding the Fourth Proportional to 2,731.86, 4,099.16 and 1,088.37

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Solution

The fourth proportional to 2,731.86, 4,099.16 and 1,088.37 is: 1,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.86 : 4,099.16 = 1,088.37 : x
  2. Step 2: Convert to fraction form
    2,731.86/4,099.16 = 1,088.37/x
  3. Step 3: Cross multiply
    2,731.86x = 4,099.16 × 1,088.37
  4. Step 4: Simplify right side
    2,731.86x = 4,461,405.49
  5. Step 5: Solve for x
    x = 4,461,405.49/2,731.86
  6. Step 6: Final answer
    x = 1,633.10

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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.