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Finding the Fourth Proportional to 2,683.20, 3,698.16 and 2,018.88

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Solution

The fourth proportional to 2,683.20, 3,698.16 and 2,018.88 is: 2,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.20 : 3,698.16 = 2,018.88 : x
  2. Step 2: Convert to fraction form
    2,683.20/3,698.16 = 2,018.88/x
  3. Step 3: Cross multiply
    2,683.20x = 3,698.16 × 2,018.88
  4. Step 4: Simplify right side
    2,683.20x = 7,466,141.26
  5. Step 5: Solve for x
    x = 7,466,141.26/2,683.20
  6. Step 6: Final answer
    x = 2,782.55

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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.