Home / 1,957-2,934.96-1,649.04

Finding the Fourth Proportional to 1,957, 2,934.96 and 1,649.04

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Solution

The fourth proportional to 1,957, 2,934.96 and 1,649.04 is: 2,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957 : 2,934.96 = 1,649.04 : x
  2. Step 2: Convert to fraction form
    1,957/2,934.96 = 1,649.04/x
  3. Step 3: Cross multiply
    1,957x = 2,934.96 × 1,649.04
  4. Step 4: Simplify right side
    1,957x = 4,839,866.44
  5. Step 5: Solve for x
    x = 4,839,866.44/1,957
  6. Step 6: Final answer
    x = 2,473.10

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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.