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Finding the Fourth Proportional to 3,120.16, 4,680.80 and 1,388.80

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Solution

The fourth proportional to 3,120.16, 4,680.80 and 1,388.80 is: 2,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.16 : 4,680.80 = 1,388.80 : x
  2. Step 2: Convert to fraction form
    3,120.16/4,680.80 = 1,388.80/x
  3. Step 3: Cross multiply
    3,120.16x = 4,680.80 × 1,388.80
  4. Step 4: Simplify right side
    3,120.16x = 6,500,695.04
  5. Step 5: Solve for x
    x = 6,500,695.04/3,120.16
  6. Step 6: Final answer
    x = 2,083.45

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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.