Home / 2,972.84-4,102.55-1,646.56

Finding the Fourth Proportional to 2,972.84, 4,102.55 and 1,646.56

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Solution

The fourth proportional to 2,972.84, 4,102.55 and 1,646.56 is: 2,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.84 : 4,102.55 = 1,646.56 : x
  2. Step 2: Convert to fraction form
    2,972.84/4,102.55 = 1,646.56/x
  3. Step 3: Cross multiply
    2,972.84x = 4,102.55 × 1,646.56
  4. Step 4: Simplify right side
    2,972.84x = 6,755,086.50
  5. Step 5: Solve for x
    x = 6,755,086.50/2,972.84
  6. Step 6: Final answer
    x = 2,272.27

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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.