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Finding the Fourth Proportional to 2,338.78, 3,508.18 and 1,606.14

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Solution

The fourth proportional to 2,338.78, 3,508.18 and 1,606.14 is: 2,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.78 : 3,508.18 = 1,606.14 : x
  2. Step 2: Convert to fraction form
    2,338.78/3,508.18 = 1,606.14/x
  3. Step 3: Cross multiply
    2,338.78x = 3,508.18 × 1,606.14
  4. Step 4: Simplify right side
    2,338.78x = 5,634,628.23
  5. Step 5: Solve for x
    x = 5,634,628.23/2,338.78
  6. Step 6: Final answer
    x = 2,409.22

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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.