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Finding the Fourth Proportional to 3,193.70, 4,790.52 and 1,002.40

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Solution

The fourth proportional to 3,193.70, 4,790.52 and 1,002.40 is: 1,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.70 : 4,790.52 = 1,002.40 : x
  2. Step 2: Convert to fraction form
    3,193.70/4,790.52 = 1,002.40/x
  3. Step 3: Cross multiply
    3,193.70x = 4,790.52 × 1,002.40
  4. Step 4: Simplify right side
    3,193.70x = 4,802,017.25
  5. Step 5: Solve for x
    x = 4,802,017.25/3,193.70
  6. Step 6: Final answer
    x = 1,503.59

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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.