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Finding the Fourth Proportional to 3,193.84, 4,790.76 and 1,002.76

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Solution

The fourth proportional to 3,193.84, 4,790.76 and 1,002.76 is: 1,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.84 : 4,790.76 = 1,002.76 : x
  2. Step 2: Convert to fraction form
    3,193.84/4,790.76 = 1,002.76/x
  3. Step 3: Cross multiply
    3,193.84x = 4,790.76 × 1,002.76
  4. Step 4: Simplify right side
    3,193.84x = 4,803,982.50
  5. Step 5: Solve for x
    x = 4,803,982.50/3,193.84
  6. Step 6: Final answer
    x = 1,504.14

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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.