Home / 2,972.74-4,102.32-1,646.50

Finding the Fourth Proportional to 2,972.74, 4,102.32 and 1,646.50

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Solution

The fourth proportional to 2,972.74, 4,102.32 and 1,646.50 is: 2,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.74 : 4,102.32 = 1,646.50 : x
  2. Step 2: Convert to fraction form
    2,972.74/4,102.32 = 1,646.50/x
  3. Step 3: Cross multiply
    2,972.74x = 4,102.32 × 1,646.50
  4. Step 4: Simplify right side
    2,972.74x = 6,754,469.88
  5. Step 5: Solve for x
    x = 6,754,469.88/2,972.74
  6. Step 6: Final answer
    x = 2,272.14

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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.