Home / 2,972.96-4,456.79-1,412

Finding the Fourth Proportional to 2,972.96, 4,456.79 and 1,412

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Solution

The fourth proportional to 2,972.96, 4,456.79 and 1,412 is: 2,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.96 : 4,456.79 = 1,412 : x
  2. Step 2: Convert to fraction form
    2,972.96/4,456.79 = 1,412/x
  3. Step 3: Cross multiply
    2,972.96x = 4,456.79 × 1,412
  4. Step 4: Simplify right side
    2,972.96x = 6,292,987.48
  5. Step 5: Solve for x
    x = 6,292,987.48/2,972.96
  6. Step 6: Final answer
    x = 2,116.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.