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Finding the Fourth Proportional to 2,684.56, 4,027.60 and 1,124.08

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Solution

The fourth proportional to 2,684.56, 4,027.60 and 1,124.08 is: 1,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.56 : 4,027.60 = 1,124.08 : x
  2. Step 2: Convert to fraction form
    2,684.56/4,027.60 = 1,124.08/x
  3. Step 3: Cross multiply
    2,684.56x = 4,027.60 × 1,124.08
  4. Step 4: Simplify right side
    2,684.56x = 4,527,344.61
  5. Step 5: Solve for x
    x = 4,527,344.61/2,684.56
  6. Step 6: Final answer
    x = 1,686.44

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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.