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Finding the Fourth Proportional to 2,027.61, 3,037.35 and 930.47

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Solution

The fourth proportional to 2,027.61, 3,037.35 and 930.47 is: 1,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.61 : 3,037.35 = 930.47 : x
  2. Step 2: Convert to fraction form
    2,027.61/3,037.35 = 930.47/x
  3. Step 3: Cross multiply
    2,027.61x = 3,037.35 × 930.47
  4. Step 4: Simplify right side
    2,027.61x = 2,826,147.87
  5. Step 5: Solve for x
    x = 2,826,147.87/2,027.61
  6. Step 6: Final answer
    x = 1,393.83

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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.