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Finding the Fourth Proportional to 2,165.04, 2,987.81 and 1,220.87

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Solution

The fourth proportional to 2,165.04, 2,987.81 and 1,220.87 is: 1,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.04 : 2,987.81 = 1,220.87 : x
  2. Step 2: Convert to fraction form
    2,165.04/2,987.81 = 1,220.87/x
  3. Step 3: Cross multiply
    2,165.04x = 2,987.81 × 1,220.87
  4. Step 4: Simplify right side
    2,165.04x = 3,647,706.55
  5. Step 5: Solve for x
    x = 3,647,706.55/2,165.04
  6. Step 6: Final answer
    x = 1,684.82

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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.