Home / 2,972.78-4,102.26-1,646.42

Finding the Fourth Proportional to 2,972.78, 4,102.26 and 1,646.42

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Solution

The fourth proportional to 2,972.78, 4,102.26 and 1,646.42 is: 2,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.78 : 4,102.26 = 1,646.42 : x
  2. Step 2: Convert to fraction form
    2,972.78/4,102.26 = 1,646.42/x
  3. Step 3: Cross multiply
    2,972.78x = 4,102.26 × 1,646.42
  4. Step 4: Simplify right side
    2,972.78x = 6,754,042.91
  5. Step 5: Solve for x
    x = 6,754,042.91/2,972.78
  6. Step 6: Final answer
    x = 2,271.96

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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.