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Finding the Fourth Proportional to 2,275.72, 3,413.59 and 632.27

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Solution

The fourth proportional to 2,275.72, 3,413.59 and 632.27 is: 948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.72 : 3,413.59 = 632.27 : x
  2. Step 2: Convert to fraction form
    2,275.72/3,413.59 = 632.27/x
  3. Step 3: Cross multiply
    2,275.72x = 3,413.59 × 632.27
  4. Step 4: Simplify right side
    2,275.72x = 2,158,310.55
  5. Step 5: Solve for x
    x = 2,158,310.55/2,275.72
  6. Step 6: Final answer
    x = 948.41

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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.