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Finding the Fourth Proportional to 1,537.48, 2,121.73 and 838.86

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Solution

The fourth proportional to 1,537.48, 2,121.73 and 838.86 is: 1,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.48 : 2,121.73 = 838.86 : x
  2. Step 2: Convert to fraction form
    1,537.48/2,121.73 = 838.86/x
  3. Step 3: Cross multiply
    1,537.48x = 2,121.73 × 838.86
  4. Step 4: Simplify right side
    1,537.48x = 1,779,834.43
  5. Step 5: Solve for x
    x = 1,779,834.43/1,537.48
  6. Step 6: Final answer
    x = 1,157.63

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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.