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Finding the Fourth Proportional to 2,456.01, 3,683.96 and 995.17

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Solution

The fourth proportional to 2,456.01, 3,683.96 and 995.17 is: 1,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.01 : 3,683.96 = 995.17 : x
  2. Step 2: Convert to fraction form
    2,456.01/3,683.96 = 995.17/x
  3. Step 3: Cross multiply
    2,456.01x = 3,683.96 × 995.17
  4. Step 4: Simplify right side
    2,456.01x = 3,666,166.47
  5. Step 5: Solve for x
    x = 3,666,166.47/2,456.01
  6. Step 6: Final answer
    x = 1,492.73

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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.