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Finding the Fourth Proportional to 2,824.54, 3,898.34 and 1,646.30

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Solution

The fourth proportional to 2,824.54, 3,898.34 and 1,646.30 is: 2,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.54 : 3,898.34 = 1,646.30 : x
  2. Step 2: Convert to fraction form
    2,824.54/3,898.34 = 1,646.30/x
  3. Step 3: Cross multiply
    2,824.54x = 3,898.34 × 1,646.30
  4. Step 4: Simplify right side
    2,824.54x = 6,417,837.14
  5. Step 5: Solve for x
    x = 6,417,837.14/2,824.54
  6. Step 6: Final answer
    x = 2,272.17

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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.