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Finding the Fourth Proportional to 3,193.57, 4,790.35 and 1,002.47

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Solution

The fourth proportional to 3,193.57, 4,790.35 and 1,002.47 is: 1,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.57 : 4,790.35 = 1,002.47 : x
  2. Step 2: Convert to fraction form
    3,193.57/4,790.35 = 1,002.47/x
  3. Step 3: Cross multiply
    3,193.57x = 4,790.35 × 1,002.47
  4. Step 4: Simplify right side
    3,193.57x = 4,802,158.21
  5. Step 5: Solve for x
    x = 4,802,158.21/3,193.57
  6. Step 6: Final answer
    x = 1,503.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.