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Finding the Fourth Proportional to 2,950.28, 4,425.54 and 1,002.50

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Solution

The fourth proportional to 2,950.28, 4,425.54 and 1,002.50 is: 1,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.28 : 4,425.54 = 1,002.50 : x
  2. Step 2: Convert to fraction form
    2,950.28/4,425.54 = 1,002.50/x
  3. Step 3: Cross multiply
    2,950.28x = 4,425.54 × 1,002.50
  4. Step 4: Simplify right side
    2,950.28x = 4,436,603.85
  5. Step 5: Solve for x
    x = 4,436,603.85/2,950.28
  6. Step 6: Final answer
    x = 1,503.79

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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.