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Finding the Fourth Proportional to 3,169.92, 4,374.78 and 1,773

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Solution

The fourth proportional to 3,169.92, 4,374.78 and 1,773 is: 2,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.92 : 4,374.78 = 1,773 : x
  2. Step 2: Convert to fraction form
    3,169.92/4,374.78 = 1,773/x
  3. Step 3: Cross multiply
    3,169.92x = 4,374.78 × 1,773
  4. Step 4: Simplify right side
    3,169.92x = 7,756,484.94
  5. Step 5: Solve for x
    x = 7,756,484.94/3,169.92
  6. Step 6: Final answer
    x = 2,446.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.