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Finding the Fourth Proportional to 3,193.02, 4,782.03 and 2,456.70

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Solution

The fourth proportional to 3,193.02, 4,782.03 and 2,456.70 is: 3,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.02 : 4,782.03 = 2,456.70 : x
  2. Step 2: Convert to fraction form
    3,193.02/4,782.03 = 2,456.70/x
  3. Step 3: Cross multiply
    3,193.02x = 4,782.03 × 2,456.70
  4. Step 4: Simplify right side
    3,193.02x = 11,748,013.10
  5. Step 5: Solve for x
    x = 11,748,013.10/3,193.02
  6. Step 6: Final answer
    x = 3,679.28

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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.