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Finding the Fourth Proportional to 2,456.36, 3,686.06 and 995.53

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Solution

The fourth proportional to 2,456.36, 3,686.06 and 995.53 is: 1,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.36 : 3,686.06 = 995.53 : x
  2. Step 2: Convert to fraction form
    2,456.36/3,686.06 = 995.53/x
  3. Step 3: Cross multiply
    2,456.36x = 3,686.06 × 995.53
  4. Step 4: Simplify right side
    2,456.36x = 3,669,576.59
  5. Step 5: Solve for x
    x = 3,669,576.59/2,456.36
  6. Step 6: Final answer
    x = 1,493.91

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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.