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Finding the Fourth Proportional to 2,002.40, 2,754.09 and 1,753.29

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Solution

The fourth proportional to 2,002.40, 2,754.09 and 1,753.29 is: 2,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.40 : 2,754.09 = 1,753.29 : x
  2. Step 2: Convert to fraction form
    2,002.40/2,754.09 = 1,753.29/x
  3. Step 3: Cross multiply
    2,002.40x = 2,754.09 × 1,753.29
  4. Step 4: Simplify right side
    2,002.40x = 4,828,709.69
  5. Step 5: Solve for x
    x = 4,828,709.69/2,002.40
  6. Step 6: Final answer
    x = 2,411.46

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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.