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Finding the Fourth Proportional to 2,091.84, 3,138.32 and 2,055.20

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Solution

The fourth proportional to 2,091.84, 3,138.32 and 2,055.20 is: 3,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.84 : 3,138.32 = 2,055.20 : x
  2. Step 2: Convert to fraction form
    2,091.84/3,138.32 = 2,055.20/x
  3. Step 3: Cross multiply
    2,091.84x = 3,138.32 × 2,055.20
  4. Step 4: Simplify right side
    2,091.84x = 6,449,875.26
  5. Step 5: Solve for x
    x = 6,449,875.26/2,091.84
  6. Step 6: Final answer
    x = 3,083.35

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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.