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Finding the Fourth Proportional to 2,275.70, 3,413.75 and 1,666.98

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Solution

The fourth proportional to 2,275.70, 3,413.75 and 1,666.98 is: 2,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.70 : 3,413.75 = 1,666.98 : x
  2. Step 2: Convert to fraction form
    2,275.70/3,413.75 = 1,666.98/x
  3. Step 3: Cross multiply
    2,275.70x = 3,413.75 × 1,666.98
  4. Step 4: Simplify right side
    2,275.70x = 5,690,644.64
  5. Step 5: Solve for x
    x = 5,690,644.64/2,275.70
  6. Step 6: Final answer
    x = 2,500.62

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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.