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Finding the Fourth Proportional to 2,342.49, 3,511.44 and 1,904.63

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Solution

The fourth proportional to 2,342.49, 3,511.44 and 1,904.63 is: 2,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.49 : 3,511.44 = 1,904.63 : x
  2. Step 2: Convert to fraction form
    2,342.49/3,511.44 = 1,904.63/x
  3. Step 3: Cross multiply
    2,342.49x = 3,511.44 × 1,904.63
  4. Step 4: Simplify right side
    2,342.49x = 6,687,976.41
  5. Step 5: Solve for x
    x = 6,687,976.41/2,342.49
  6. Step 6: Final answer
    x = 2,855.07

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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.