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Finding the Fourth Proportional to 3,001.48, 4,493.94 and 1,537.48

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Solution

The fourth proportional to 3,001.48, 4,493.94 and 1,537.48 is: 2,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.48 : 4,493.94 = 1,537.48 : x
  2. Step 2: Convert to fraction form
    3,001.48/4,493.94 = 1,537.48/x
  3. Step 3: Cross multiply
    3,001.48x = 4,493.94 × 1,537.48
  4. Step 4: Simplify right side
    3,001.48x = 6,909,342.87
  5. Step 5: Solve for x
    x = 6,909,342.87/3,001.48
  6. Step 6: Final answer
    x = 2,301.98

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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.