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Finding the Fourth Proportional to 2,881.25, 3,976.21 and 1,762.17

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Solution

The fourth proportional to 2,881.25, 3,976.21 and 1,762.17 is: 2,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.25 : 3,976.21 = 1,762.17 : x
  2. Step 2: Convert to fraction form
    2,881.25/3,976.21 = 1,762.17/x
  3. Step 3: Cross multiply
    2,881.25x = 3,976.21 × 1,762.17
  4. Step 4: Simplify right side
    2,881.25x = 7,006,756.87
  5. Step 5: Solve for x
    x = 7,006,756.87/2,881.25
  6. Step 6: Final answer
    x = 2,431.84

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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.