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Finding the Fourth Proportional to 1,693.61, 2,540.58 and 1,388.17

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Solution

The fourth proportional to 1,693.61, 2,540.58 and 1,388.17 is: 2,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.61 : 2,540.58 = 1,388.17 : x
  2. Step 2: Convert to fraction form
    1,693.61/2,540.58 = 1,388.17/x
  3. Step 3: Cross multiply
    1,693.61x = 2,540.58 × 1,388.17
  4. Step 4: Simplify right side
    1,693.61x = 3,526,756.94
  5. Step 5: Solve for x
    x = 3,526,756.94/1,693.61
  6. Step 6: Final answer
    x = 2,082.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.