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Finding the Fourth Proportional to 2,275.40, 3,413.34 and 976.68

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Solution

The fourth proportional to 2,275.40, 3,413.34 and 976.68 is: 1,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.40 : 3,413.34 = 976.68 : x
  2. Step 2: Convert to fraction form
    2,275.40/3,413.34 = 976.68/x
  3. Step 3: Cross multiply
    2,275.40x = 3,413.34 × 976.68
  4. Step 4: Simplify right side
    2,275.40x = 3,333,740.91
  5. Step 5: Solve for x
    x = 3,333,740.91/2,275.40
  6. Step 6: Final answer
    x = 1,465.12

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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.