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Finding the Fourth Proportional to 2,214.52, 3,055.96 and 1,219.76

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Solution

The fourth proportional to 2,214.52, 3,055.96 and 1,219.76 is: 1,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.52 : 3,055.96 = 1,219.76 : x
  2. Step 2: Convert to fraction form
    2,214.52/3,055.96 = 1,219.76/x
  3. Step 3: Cross multiply
    2,214.52x = 3,055.96 × 1,219.76
  4. Step 4: Simplify right side
    2,214.52x = 3,727,537.77
  5. Step 5: Solve for x
    x = 3,727,537.77/2,214.52
  6. Step 6: Final answer
    x = 1,683.23

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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.