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Finding the Fourth Proportional to 2,141.83, 3,207.07 and 1,751.41

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Solution

The fourth proportional to 2,141.83, 3,207.07 and 1,751.41 is: 2,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.83 : 3,207.07 = 1,751.41 : x
  2. Step 2: Convert to fraction form
    2,141.83/3,207.07 = 1,751.41/x
  3. Step 3: Cross multiply
    2,141.83x = 3,207.07 × 1,751.41
  4. Step 4: Simplify right side
    2,141.83x = 5,616,894.47
  5. Step 5: Solve for x
    x = 5,616,894.47/2,141.83
  6. Step 6: Final answer
    x = 2,622.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.