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Finding the Fourth Proportional to 2,685.72, 4,027.08 and 930.24

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Solution

The fourth proportional to 2,685.72, 4,027.08 and 930.24 is: 1,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.72 : 4,027.08 = 930.24 : x
  2. Step 2: Convert to fraction form
    2,685.72/4,027.08 = 930.24/x
  3. Step 3: Cross multiply
    2,685.72x = 4,027.08 × 930.24
  4. Step 4: Simplify right side
    2,685.72x = 3,746,150.90
  5. Step 5: Solve for x
    x = 3,746,150.90/2,685.72
  6. Step 6: Final answer
    x = 1,394.84

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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.