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Finding the Fourth Proportional to 2,413.92, 3,335.68 and 1,823.44

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Solution

The fourth proportional to 2,413.92, 3,335.68 and 1,823.44 is: 2,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.92 : 3,335.68 = 1,823.44 : x
  2. Step 2: Convert to fraction form
    2,413.92/3,335.68 = 1,823.44/x
  3. Step 3: Cross multiply
    2,413.92x = 3,335.68 × 1,823.44
  4. Step 4: Simplify right side
    2,413.92x = 6,082,412.34
  5. Step 5: Solve for x
    x = 6,082,412.34/2,413.92
  6. Step 6: Final answer
    x = 2,519.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.