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Finding the Fourth Proportional to 2,001.84, 3,002.13 and 1,024.98

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Solution

The fourth proportional to 2,001.84, 3,002.13 and 1,024.98 is: 1,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.84 : 3,002.13 = 1,024.98 : x
  2. Step 2: Convert to fraction form
    2,001.84/3,002.13 = 1,024.98/x
  3. Step 3: Cross multiply
    2,001.84x = 3,002.13 × 1,024.98
  4. Step 4: Simplify right side
    2,001.84x = 3,077,123.21
  5. Step 5: Solve for x
    x = 3,077,123.21/2,001.84
  6. Step 6: Final answer
    x = 1,537.15

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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.