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Finding the Fourth Proportional to 1,732.42, 2,389.26 and 1,354.42

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Solution

The fourth proportional to 1,732.42, 2,389.26 and 1,354.42 is: 1,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.42 : 2,389.26 = 1,354.42 : x
  2. Step 2: Convert to fraction form
    1,732.42/2,389.26 = 1,354.42/x
  3. Step 3: Cross multiply
    1,732.42x = 2,389.26 × 1,354.42
  4. Step 4: Simplify right side
    1,732.42x = 3,236,061.53
  5. Step 5: Solve for x
    x = 3,236,061.53/1,732.42
  6. Step 6: Final answer
    x = 1,867.94

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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.