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Finding the Fourth Proportional to 2,970.52, 4,456.33 and 995.96

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Solution

The fourth proportional to 2,970.52, 4,456.33 and 995.96 is: 1,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.52 : 4,456.33 = 995.96 : x
  2. Step 2: Convert to fraction form
    2,970.52/4,456.33 = 995.96/x
  3. Step 3: Cross multiply
    2,970.52x = 4,456.33 × 995.96
  4. Step 4: Simplify right side
    2,970.52x = 4,438,335.08
  5. Step 5: Solve for x
    x = 4,438,335.08/2,970.52
  6. Step 6: Final answer
    x = 1,494.13

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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.