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Finding the Fourth Proportional to 2,103.73, 3,152.86 and 1,614.40

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Solution

The fourth proportional to 2,103.73, 3,152.86 and 1,614.40 is: 2,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.73 : 3,152.86 = 1,614.40 : x
  2. Step 2: Convert to fraction form
    2,103.73/3,152.86 = 1,614.40/x
  3. Step 3: Cross multiply
    2,103.73x = 3,152.86 × 1,614.40
  4. Step 4: Simplify right side
    2,103.73x = 5,089,965.27
  5. Step 5: Solve for x
    x = 5,089,965.27/2,103.73
  6. Step 6: Final answer
    x = 2,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.