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Finding the Fourth Proportional to 3,164.96, 4,747.90 and 973.88

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Solution

The fourth proportional to 3,164.96, 4,747.90 and 973.88 is: 1,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.96 : 4,747.90 = 973.88 : x
  2. Step 2: Convert to fraction form
    3,164.96/4,747.90 = 973.88/x
  3. Step 3: Cross multiply
    3,164.96x = 4,747.90 × 973.88
  4. Step 4: Simplify right side
    3,164.96x = 4,623,884.85
  5. Step 5: Solve for x
    x = 4,623,884.85/3,164.96
  6. Step 6: Final answer
    x = 1,460.96

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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.