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Finding the Fourth Proportional to 1,537.41, 2,121.64 and 838.78

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Solution

The fourth proportional to 1,537.41, 2,121.64 and 838.78 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.41 : 2,121.64 = 838.78 : x
  2. Step 2: Convert to fraction form
    1,537.41/2,121.64 = 838.78/x
  3. Step 3: Cross multiply
    1,537.41x = 2,121.64 × 838.78
  4. Step 4: Simplify right side
    1,537.41x = 1,779,589.20
  5. Step 5: Solve for x
    x = 1,779,589.20/1,537.41
  6. Step 6: Final answer
    x = 1,157.52

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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.