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Finding the Fourth Proportional to 2,164.42, 2,986.72 and 1,219.92

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Solution

The fourth proportional to 2,164.42, 2,986.72 and 1,219.92 is: 1,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.42 : 2,986.72 = 1,219.92 : x
  2. Step 2: Convert to fraction form
    2,164.42/2,986.72 = 1,219.92/x
  3. Step 3: Cross multiply
    2,164.42x = 2,986.72 × 1,219.92
  4. Step 4: Simplify right side
    2,164.42x = 3,643,559.46
  5. Step 5: Solve for x
    x = 3,643,559.46/2,164.42
  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.