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Finding the Fourth Proportional to 1,342.04, 2,012.84 and 367.92

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Solution

The fourth proportional to 1,342.04, 2,012.84 and 367.92 is: 551.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.04 : 2,012.84 = 367.92 : x
  2. Step 2: Convert to fraction form
    1,342.04/2,012.84 = 367.92/x
  3. Step 3: Cross multiply
    1,342.04x = 2,012.84 × 367.92
  4. Step 4: Simplify right side
    1,342.04x = 740,564.09
  5. Step 5: Solve for x
    x = 740,564.09/1,342.04
  6. Step 6: Final answer
    x = 551.82

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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.