Home / 1,537.69-2,122.02-839.06

Finding the Fourth Proportional to 1,537.69, 2,122.02 and 839.06

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Solution

The fourth proportional to 1,537.69, 2,122.02 and 839.06 is: 1,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.69 : 2,122.02 = 839.06 : x
  2. Step 2: Convert to fraction form
    1,537.69/2,122.02 = 839.06/x
  3. Step 3: Cross multiply
    1,537.69x = 2,122.02 × 839.06
  4. Step 4: Simplify right side
    1,537.69x = 1,780,507.41
  5. Step 5: Solve for x
    x = 1,780,507.41/1,537.69
  6. Step 6: Final answer
    x = 1,157.91

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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.