Home / 2,972.72-4,102.23-1,646.44

Finding the Fourth Proportional to 2,972.72, 4,102.23 and 1,646.44

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Solution

The fourth proportional to 2,972.72, 4,102.23 and 1,646.44 is: 2,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.72 : 4,102.23 = 1,646.44 : x
  2. Step 2: Convert to fraction form
    2,972.72/4,102.23 = 1,646.44/x
  3. Step 3: Cross multiply
    2,972.72x = 4,102.23 × 1,646.44
  4. Step 4: Simplify right side
    2,972.72x = 6,754,065.31
  5. Step 5: Solve for x
    x = 6,754,065.31/2,972.72
  6. Step 6: Final answer
    x = 2,272.02

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