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Finding the Fourth Proportional to 3,193.76, 4,790.63 and 1,002.66

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Solution

The fourth proportional to 3,193.76, 4,790.63 and 1,002.66 is: 1,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.76 : 4,790.63 = 1,002.66 : x
  2. Step 2: Convert to fraction form
    3,193.76/4,790.63 = 1,002.66/x
  3. Step 3: Cross multiply
    3,193.76x = 4,790.63 × 1,002.66
  4. Step 4: Simplify right side
    3,193.76x = 4,803,373.08
  5. Step 5: Solve for x
    x = 4,803,373.08/3,193.76
  6. Step 6: Final answer
    x = 1,503.99

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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.