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Finding the Fourth Proportional to 1,698.28, 2,343.27 and 1,109.68

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Solution

The fourth proportional to 1,698.28, 2,343.27 and 1,109.68 is: 1,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.28 : 2,343.27 = 1,109.68 : x
  2. Step 2: Convert to fraction form
    1,698.28/2,343.27 = 1,109.68/x
  3. Step 3: Cross multiply
    1,698.28x = 2,343.27 × 1,109.68
  4. Step 4: Simplify right side
    1,698.28x = 2,600,279.85
  5. Step 5: Solve for x
    x = 2,600,279.85/1,698.28
  6. Step 6: Final answer
    x = 1,531.13

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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.