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Finding the Fourth Proportional to 3,103.54, 4,656.00 and 995.14

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Solution

The fourth proportional to 3,103.54, 4,656.00 and 995.14 is: 1,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.54 : 4,656.00 = 995.14 : x
  2. Step 2: Convert to fraction form
    3,103.54/4,656.00 = 995.14/x
  3. Step 3: Cross multiply
    3,103.54x = 4,656.00 × 995.14
  4. Step 4: Simplify right side
    3,103.54x = 4,633,375.79
  5. Step 5: Solve for x
    x = 4,633,375.79/3,103.54
  6. Step 6: Final answer
    x = 1,492.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.