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Finding the Fourth Proportional to 2,911.81, 4,363.62 and 2,477.26

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Solution

The fourth proportional to 2,911.81, 4,363.62 and 2,477.26 is: 3,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.81 : 4,363.62 = 2,477.26 : x
  2. Step 2: Convert to fraction form
    2,911.81/4,363.62 = 2,477.26/x
  3. Step 3: Cross multiply
    2,911.81x = 4,363.62 × 2,477.26
  4. Step 4: Simplify right side
    2,911.81x = 10,809,821.28
  5. Step 5: Solve for x
    x = 10,809,821.28/2,911.81
  6. Step 6: Final answer
    x = 3,712.41

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