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Finding the Fourth Proportional to 2,114.28, 2,919.06 and 1,592.64

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Solution

The fourth proportional to 2,114.28, 2,919.06 and 1,592.64 is: 2,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.28 : 2,919.06 = 1,592.64 : x
  2. Step 2: Convert to fraction form
    2,114.28/2,919.06 = 1,592.64/x
  3. Step 3: Cross multiply
    2,114.28x = 2,919.06 × 1,592.64
  4. Step 4: Simplify right side
    2,114.28x = 4,649,011.72
  5. Step 5: Solve for x
    x = 4,649,011.72/2,114.28
  6. Step 6: Final answer
    x = 2,198.86

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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.