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Finding the Fourth Proportional to 2,166.60, 2,989.30 and 1,420.44

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Solution

The fourth proportional to 2,166.60, 2,989.30 and 1,420.44 is: 1,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.60 : 2,989.30 = 1,420.44 : x
  2. Step 2: Convert to fraction form
    2,166.60/2,989.30 = 1,420.44/x
  3. Step 3: Cross multiply
    2,166.60x = 2,989.30 × 1,420.44
  4. Step 4: Simplify right side
    2,166.60x = 4,246,121.29
  5. Step 5: Solve for x
    x = 4,246,121.29/2,166.60
  6. Step 6: Final answer
    x = 1,959.81

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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.