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Finding the Fourth Proportional to 2,413.39, 3,618.00 and 1,026.52

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Solution

The fourth proportional to 2,413.39, 3,618.00 and 1,026.52 is: 1,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.39 : 3,618.00 = 1,026.52 : x
  2. Step 2: Convert to fraction form
    2,413.39/3,618.00 = 1,026.52/x
  3. Step 3: Cross multiply
    2,413.39x = 3,618.00 × 1,026.52
  4. Step 4: Simplify right side
    2,413.39x = 3,713,965.00
  5. Step 5: Solve for x
    x = 3,713,965.00/2,413.39
  6. Step 6: Final answer
    x = 1,538.90

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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.