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Finding the Fourth Proportional to 3,193.31, 4,790.01 and 1,002.05

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Solution

The fourth proportional to 3,193.31, 4,790.01 and 1,002.05 is: 1,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.31 : 4,790.01 = 1,002.05 : x
  2. Step 2: Convert to fraction form
    3,193.31/4,790.01 = 1,002.05/x
  3. Step 3: Cross multiply
    3,193.31x = 4,790.01 × 1,002.05
  4. Step 4: Simplify right side
    3,193.31x = 4,799,841.50
  5. Step 5: Solve for x
    x = 4,799,841.50/3,193.31
  6. Step 6: Final answer
    x = 1,503.10

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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.