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Finding the Fourth Proportional to 2,079.60, 3,114.54 and 1,214.52

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Solution

The fourth proportional to 2,079.60, 3,114.54 and 1,214.52 is: 1,818.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.60 : 3,114.54 = 1,214.52 : x
  2. Step 2: Convert to fraction form
    2,079.60/3,114.54 = 1,214.52/x
  3. Step 3: Cross multiply
    2,079.60x = 3,114.54 × 1,214.52
  4. Step 4: Simplify right side
    2,079.60x = 3,782,671.12
  5. Step 5: Solve for x
    x = 3,782,671.12/2,079.60
  6. Step 6: Final answer
    x = 1,818.94

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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.