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Finding the Fourth Proportional to 1,771.93, 2,444.97 and 1,025.95

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Solution

The fourth proportional to 1,771.93, 2,444.97 and 1,025.95 is: 1,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.93 : 2,444.97 = 1,025.95 : x
  2. Step 2: Convert to fraction form
    1,771.93/2,444.97 = 1,025.95/x
  3. Step 3: Cross multiply
    1,771.93x = 2,444.97 × 1,025.95
  4. Step 4: Simplify right side
    1,771.93x = 2,508,413.52
  5. Step 5: Solve for x
    x = 2,508,413.52/1,771.93
  6. Step 6: Final answer
    x = 1,415.64

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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.