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Finding the Fourth Proportional to 2,782.92, 4,158.06 and 2,686.05

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Solution

The fourth proportional to 2,782.92, 4,158.06 and 2,686.05 is: 4,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.92 : 4,158.06 = 2,686.05 : x
  2. Step 2: Convert to fraction form
    2,782.92/4,158.06 = 2,686.05/x
  3. Step 3: Cross multiply
    2,782.92x = 4,158.06 × 2,686.05
  4. Step 4: Simplify right side
    2,782.92x = 11,168,757.06
  5. Step 5: Solve for x
    x = 11,168,757.06/2,782.92
  6. Step 6: Final answer
    x = 4,013.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.