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Finding the Fourth Proportional to 1,697.40, 2,342.52 and 1,109.52

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Solution

The fourth proportional to 1,697.40, 2,342.52 and 1,109.52 is: 1,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.40 : 2,342.52 = 1,109.52 : x
  2. Step 2: Convert to fraction form
    1,697.40/2,342.52 = 1,109.52/x
  3. Step 3: Cross multiply
    1,697.40x = 2,342.52 × 1,109.52
  4. Step 4: Simplify right side
    1,697.40x = 2,599,072.79
  5. Step 5: Solve for x
    x = 2,599,072.79/1,697.40
  6. Step 6: Final answer
    x = 1,531.21

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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.