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Finding the Fourth Proportional to 2,477.52, 3,721.14 and 2,322

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Solution

The fourth proportional to 2,477.52, 3,721.14 and 2,322 is: 3,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.52 : 3,721.14 = 2,322 : x
  2. Step 2: Convert to fraction form
    2,477.52/3,721.14 = 2,322/x
  3. Step 3: Cross multiply
    2,477.52x = 3,721.14 × 2,322
  4. Step 4: Simplify right side
    2,477.52x = 8,640,487.08
  5. Step 5: Solve for x
    x = 8,640,487.08/2,477.52
  6. Step 6: Final answer
    x = 3,487.55

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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.