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Finding the Fourth Proportional to 2,275.76, 3,413.25 and 632.32

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Solution

The fourth proportional to 2,275.76, 3,413.25 and 632.32 is: 948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.76 : 3,413.25 = 632.32 : x
  2. Step 2: Convert to fraction form
    2,275.76/3,413.25 = 632.32/x
  3. Step 3: Cross multiply
    2,275.76x = 3,413.25 × 632.32
  4. Step 4: Simplify right side
    2,275.76x = 2,158,257.71
  5. Step 5: Solve for x
    x = 2,158,257.71/2,275.76
  6. Step 6: Final answer
    x = 948.37

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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.