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Finding the Fourth Proportional to 2,100.60, 2,899.14 and 1,216.44

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Solution

The fourth proportional to 2,100.60, 2,899.14 and 1,216.44 is: 1,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.60 : 2,899.14 = 1,216.44 : x
  2. Step 2: Convert to fraction form
    2,100.60/2,899.14 = 1,216.44/x
  3. Step 3: Cross multiply
    2,100.60x = 2,899.14 × 1,216.44
  4. Step 4: Simplify right side
    2,100.60x = 3,526,629.86
  5. Step 5: Solve for x
    x = 3,526,629.86/2,100.60
  6. Step 6: Final answer
    x = 1,678.87

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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.