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Finding the Fourth Proportional to 2,177.57, 3,269.09 and 1,485.93

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Solution

The fourth proportional to 2,177.57, 3,269.09 and 1,485.93 is: 2,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.57 : 3,269.09 = 1,485.93 : x
  2. Step 2: Convert to fraction form
    2,177.57/3,269.09 = 1,485.93/x
  3. Step 3: Cross multiply
    2,177.57x = 3,269.09 × 1,485.93
  4. Step 4: Simplify right side
    2,177.57x = 4,857,631.47
  5. Step 5: Solve for x
    x = 4,857,631.47/2,177.57
  6. Step 6: Final answer
    x = 2,230.76

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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.