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Finding the Fourth Proportional to 1,413.82, 1,950.70 and 881.87

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Solution

The fourth proportional to 1,413.82, 1,950.70 and 881.87 is: 1,216.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.82 : 1,950.70 = 881.87 : x
  2. Step 2: Convert to fraction form
    1,413.82/1,950.70 = 881.87/x
  3. Step 3: Cross multiply
    1,413.82x = 1,950.70 × 881.87
  4. Step 4: Simplify right side
    1,413.82x = 1,720,263.81
  5. Step 5: Solve for x
    x = 1,720,263.81/1,413.82
  6. Step 6: Final answer
    x = 1,216.75

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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.