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Finding the Fourth Proportional to 1,342.72, 2,012.46 and 693.10

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Solution

The fourth proportional to 1,342.72, 2,012.46 and 693.10 is: 1,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.72 : 2,012.46 = 693.10 : x
  2. Step 2: Convert to fraction form
    1,342.72/2,012.46 = 693.10/x
  3. Step 3: Cross multiply
    1,342.72x = 2,012.46 × 693.10
  4. Step 4: Simplify right side
    1,342.72x = 1,394,836.03
  5. Step 5: Solve for x
    x = 1,394,836.03/1,342.72
  6. Step 6: Final answer
    x = 1,038.81

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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.