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Finding the Fourth Proportional to 2,276.16, 3,413.90 and 632.54

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Solution

The fourth proportional to 2,276.16, 3,413.90 and 632.54 is: 948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.16 : 3,413.90 = 632.54 : x
  2. Step 2: Convert to fraction form
    2,276.16/3,413.90 = 632.54/x
  3. Step 3: Cross multiply
    2,276.16x = 3,413.90 × 632.54
  4. Step 4: Simplify right side
    2,276.16x = 2,159,412.82
  5. Step 5: Solve for x
    x = 2,159,412.82/2,276.16
  6. Step 6: Final answer
    x = 948.71

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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.