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Finding the Fourth Proportional to 1,693.80, 2,337.22 and 1,105.14

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Solution

The fourth proportional to 1,693.80, 2,337.22 and 1,105.14 is: 1,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.80 : 2,337.22 = 1,105.14 : x
  2. Step 2: Convert to fraction form
    1,693.80/2,337.22 = 1,105.14/x
  3. Step 3: Cross multiply
    1,693.80x = 2,337.22 × 1,105.14
  4. Step 4: Simplify right side
    1,693.80x = 2,582,955.31
  5. Step 5: Solve for x
    x = 2,582,955.31/1,693.80
  6. Step 6: Final answer
    x = 1,524.95

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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.