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Finding the Fourth Proportional to 1,694.90, 2,337.98 and 1,222.26

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Solution

The fourth proportional to 1,694.90, 2,337.98 and 1,222.26 is: 1,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.90 : 2,337.98 = 1,222.26 : x
  2. Step 2: Convert to fraction form
    1,694.90/2,337.98 = 1,222.26/x
  3. Step 3: Cross multiply
    1,694.90x = 2,337.98 × 1,222.26
  4. Step 4: Simplify right side
    1,694.90x = 2,857,619.43
  5. Step 5: Solve for x
    x = 2,857,619.43/1,694.90
  6. Step 6: Final answer
    x = 1,686.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.