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Finding the Fourth Proportional to 2,501.97, 3,753 and 652.97

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Solution

The fourth proportional to 2,501.97, 3,753 and 652.97 is: 979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.97 : 3,753 = 652.97 : x
  2. Step 2: Convert to fraction form
    2,501.97/3,753 = 652.97/x
  3. Step 3: Cross multiply
    2,501.97x = 3,753 × 652.97
  4. Step 4: Simplify right side
    2,501.97x = 2,450,605.79
  5. Step 5: Solve for x
    x = 2,450,605.79/2,501.97
  6. Step 6: Final answer
    x = 979.47

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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.