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Finding the Fourth Proportional to 2,763.77, 4,145.65 and 2,275.79

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Solution

The fourth proportional to 2,763.77, 4,145.65 and 2,275.79 is: 3,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.77 : 4,145.65 = 2,275.79 : x
  2. Step 2: Convert to fraction form
    2,763.77/4,145.65 = 2,275.79/x
  3. Step 3: Cross multiply
    2,763.77x = 4,145.65 × 2,275.79
  4. Step 4: Simplify right side
    2,763.77x = 9,434,628.81
  5. Step 5: Solve for x
    x = 9,434,628.81/2,763.77
  6. Step 6: Final answer
    x = 3,413.68

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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.