Home / 1,537.27-2,121.44-838.65

Finding the Fourth Proportional to 1,537.27, 2,121.44 and 838.65

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Solution

The fourth proportional to 1,537.27, 2,121.44 and 838.65 is: 1,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.27 : 2,121.44 = 838.65 : x
  2. Step 2: Convert to fraction form
    1,537.27/2,121.44 = 838.65/x
  3. Step 3: Cross multiply
    1,537.27x = 2,121.44 × 838.65
  4. Step 4: Simplify right side
    1,537.27x = 1,779,145.66
  5. Step 5: Solve for x
    x = 1,779,145.66/1,537.27
  6. Step 6: Final answer
    x = 1,157.34

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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.