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Finding the Fourth Proportional to 2,102.44, 3,154.02 and 1,007.50

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Solution

The fourth proportional to 2,102.44, 3,154.02 and 1,007.50 is: 1,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.44 : 3,154.02 = 1,007.50 : x
  2. Step 2: Convert to fraction form
    2,102.44/3,154.02 = 1,007.50/x
  3. Step 3: Cross multiply
    2,102.44x = 3,154.02 × 1,007.50
  4. Step 4: Simplify right side
    2,102.44x = 3,177,675.15
  5. Step 5: Solve for x
    x = 3,177,675.15/2,102.44
  6. Step 6: Final answer
    x = 1,511.42

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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.