Home / 2,972.58-4,102.10-1,646.29

Finding the Fourth Proportional to 2,972.58, 4,102.10 and 1,646.29

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Solution

The fourth proportional to 2,972.58, 4,102.10 and 1,646.29 is: 2,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.58 : 4,102.10 = 1,646.29 : x
  2. Step 2: Convert to fraction form
    2,972.58/4,102.10 = 1,646.29/x
  3. Step 3: Cross multiply
    2,972.58x = 4,102.10 × 1,646.29
  4. Step 4: Simplify right side
    2,972.58x = 6,753,249.28
  5. Step 5: Solve for x
    x = 6,753,249.28/2,972.58
  6. Step 6: Final answer
    x = 2,271.85

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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.