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Finding the Fourth Proportional to 2,122.39, 3,166.57 and 1,810.68

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Solution

The fourth proportional to 2,122.39, 3,166.57 and 1,810.68 is: 2,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.39 : 3,166.57 = 1,810.68 : x
  2. Step 2: Convert to fraction form
    2,122.39/3,166.57 = 1,810.68/x
  3. Step 3: Cross multiply
    2,122.39x = 3,166.57 × 1,810.68
  4. Step 4: Simplify right side
    2,122.39x = 5,733,644.97
  5. Step 5: Solve for x
    x = 5,733,644.97/2,122.39
  6. Step 6: Final answer
    x = 2,701.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.