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Finding the Fourth Proportional to 2,052.96, 2,833.20 and 1,214.15

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Solution

The fourth proportional to 2,052.96, 2,833.20 and 1,214.15 is: 1,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.96 : 2,833.20 = 1,214.15 : x
  2. Step 2: Convert to fraction form
    2,052.96/2,833.20 = 1,214.15/x
  3. Step 3: Cross multiply
    2,052.96x = 2,833.20 × 1,214.15
  4. Step 4: Simplify right side
    2,052.96x = 3,439,936.86
  5. Step 5: Solve for x
    x = 3,439,936.86/2,052.96
  6. Step 6: Final answer
    x = 1,675.60

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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.