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Finding the Fourth Proportional to 2,748.18, 4,120.32 and 992.34

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Solution

The fourth proportional to 2,748.18, 4,120.32 and 992.34 is: 1,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.18 : 4,120.32 = 992.34 : x
  2. Step 2: Convert to fraction form
    2,748.18/4,120.32 = 992.34/x
  3. Step 3: Cross multiply
    2,748.18x = 4,120.32 × 992.34
  4. Step 4: Simplify right side
    2,748.18x = 4,088,758.35
  5. Step 5: Solve for x
    x = 4,088,758.35/2,748.18
  6. Step 6: Final answer
    x = 1,487.81

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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.