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Finding the Fourth Proportional to 2,551.11, 3,824.40 and 907.44

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Solution

The fourth proportional to 2,551.11, 3,824.40 and 907.44 is: 1,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.11 : 3,824.40 = 907.44 : x
  2. Step 2: Convert to fraction form
    2,551.11/3,824.40 = 907.44/x
  3. Step 3: Cross multiply
    2,551.11x = 3,824.40 × 907.44
  4. Step 4: Simplify right side
    2,551.11x = 3,470,413.54
  5. Step 5: Solve for x
    x = 3,470,413.54/2,551.11
  6. Step 6: Final answer
    x = 1,360.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.