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Finding the Fourth Proportional to 2,275.73, 3,413.60 and 632.29

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Solution

The fourth proportional to 2,275.73, 3,413.60 and 632.29 is: 948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.73 : 3,413.60 = 632.29 : x
  2. Step 2: Convert to fraction form
    2,275.73/3,413.60 = 632.29/x
  3. Step 3: Cross multiply
    2,275.73x = 3,413.60 × 632.29
  4. Step 4: Simplify right side
    2,275.73x = 2,158,385.14
  5. Step 5: Solve for x
    x = 2,158,385.14/2,275.73
  6. Step 6: Final answer
    x = 948.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.