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Finding the Fourth Proportional to 2,274.76, 3,413.06 and 888.20

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Solution

The fourth proportional to 2,274.76, 3,413.06 and 888.20 is: 1,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.76 : 3,413.06 = 888.20 : x
  2. Step 2: Convert to fraction form
    2,274.76/3,413.06 = 888.20/x
  3. Step 3: Cross multiply
    2,274.76x = 3,413.06 × 888.20
  4. Step 4: Simplify right side
    2,274.76x = 3,031,479.89
  5. Step 5: Solve for x
    x = 3,031,479.89/2,274.76
  6. Step 6: Final answer
    x = 1,332.66

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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.