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Finding the Fourth Proportional to 2,214.51, 3,056.07 and 1,219.83

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Solution

The fourth proportional to 2,214.51, 3,056.07 and 1,219.83 is: 1,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.51 : 3,056.07 = 1,219.83 : x
  2. Step 2: Convert to fraction form
    2,214.51/3,056.07 = 1,219.83/x
  3. Step 3: Cross multiply
    2,214.51x = 3,056.07 × 1,219.83
  4. Step 4: Simplify right side
    2,214.51x = 3,727,885.87
  5. Step 5: Solve for x
    x = 3,727,885.87/2,214.51
  6. Step 6: Final answer
    x = 1,683.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.