Home / 3,012-4,157.04-1,769.76

Finding the Fourth Proportional to 3,012, 4,157.04 and 1,769.76

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Solution

The fourth proportional to 3,012, 4,157.04 and 1,769.76 is: 2,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,157.04 = 1,769.76 : x
  2. Step 2: Convert to fraction form
    3,012/4,157.04 = 1,769.76/x
  3. Step 3: Cross multiply
    3,012x = 4,157.04 × 1,769.76
  4. Step 4: Simplify right side
    3,012x = 7,356,963.11
  5. Step 5: Solve for x
    x = 7,356,963.11/3,012
  6. Step 6: Final answer
    x = 2,442.55

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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.