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Finding the Fourth Proportional to 1,973.97, 2,724.64 and 1,413.45

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Solution

The fourth proportional to 1,973.97, 2,724.64 and 1,413.45 is: 1,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.97 : 2,724.64 = 1,413.45 : x
  2. Step 2: Convert to fraction form
    1,973.97/2,724.64 = 1,413.45/x
  3. Step 3: Cross multiply
    1,973.97x = 2,724.64 × 1,413.45
  4. Step 4: Simplify right side
    1,973.97x = 3,851,138.87
  5. Step 5: Solve for x
    x = 3,851,138.87/1,973.97
  6. Step 6: Final answer
    x = 1,950.96

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Why These Related Problems?

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