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Finding the Fourth Proportional to 1,537.35, 2,306.07 and 671.64

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Solution

The fourth proportional to 1,537.35, 2,306.07 and 671.64 is: 1,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.35 : 2,306.07 = 671.64 : x
  2. Step 2: Convert to fraction form
    1,537.35/2,306.07 = 671.64/x
  3. Step 3: Cross multiply
    1,537.35x = 2,306.07 × 671.64
  4. Step 4: Simplify right side
    1,537.35x = 1,548,848.85
  5. Step 5: Solve for x
    x = 1,548,848.85/1,537.35
  6. Step 6: Final answer
    x = 1,007.48

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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.