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Finding the Fourth Proportional to 2,707.02, 3,737.70 and 1,867.32

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Solution

The fourth proportional to 2,707.02, 3,737.70 and 1,867.32 is: 2,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.02 : 3,737.70 = 1,867.32 : x
  2. Step 2: Convert to fraction form
    2,707.02/3,737.70 = 1,867.32/x
  3. Step 3: Cross multiply
    2,707.02x = 3,737.70 × 1,867.32
  4. Step 4: Simplify right side
    2,707.02x = 6,979,481.96
  5. Step 5: Solve for x
    x = 6,979,481.96/2,707.02
  6. Step 6: Final answer
    x = 2,578.29

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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.