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Finding the Fourth Proportional to 2,265.06, 3,124.94 and 1,413.92

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Solution

The fourth proportional to 2,265.06, 3,124.94 and 1,413.92 is: 1,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.06 : 3,124.94 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    2,265.06/3,124.94 = 1,413.92/x
  3. Step 3: Cross multiply
    2,265.06x = 3,124.94 × 1,413.92
  4. Step 4: Simplify right side
    2,265.06x = 4,418,415.16
  5. Step 5: Solve for x
    x = 4,418,415.16/2,265.06
  6. Step 6: Final answer
    x = 1,950.68

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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.