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Finding the Fourth Proportional to 3,001.53, 4,143.38 and 1,822.98

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Solution

The fourth proportional to 3,001.53, 4,143.38 and 1,822.98 is: 2,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.53 : 4,143.38 = 1,822.98 : x
  2. Step 2: Convert to fraction form
    3,001.53/4,143.38 = 1,822.98/x
  3. Step 3: Cross multiply
    3,001.53x = 4,143.38 × 1,822.98
  4. Step 4: Simplify right side
    3,001.53x = 7,553,289.76
  5. Step 5: Solve for x
    x = 7,553,289.76/3,001.53
  6. Step 6: Final answer
    x = 2,516.48

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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.