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Finding the Fourth Proportional to 1,698.44, 2,344.34 and 1,109.06

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Solution

The fourth proportional to 1,698.44, 2,344.34 and 1,109.06 is: 1,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.44 : 2,344.34 = 1,109.06 : x
  2. Step 2: Convert to fraction form
    1,698.44/2,344.34 = 1,109.06/x
  3. Step 3: Cross multiply
    1,698.44x = 2,344.34 × 1,109.06
  4. Step 4: Simplify right side
    1,698.44x = 2,600,008.18
  5. Step 5: Solve for x
    x = 2,600,008.18/1,698.44
  6. Step 6: Final answer
    x = 1,530.83

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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.