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Finding the Fourth Proportional to 3,463.34, 4,778.98 and 1,970.85

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Solution

The fourth proportional to 3,463.34, 4,778.98 and 1,970.85 is: 2,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.34 : 4,778.98 = 1,970.85 : x
  2. Step 2: Convert to fraction form
    3,463.34/4,778.98 = 1,970.85/x
  3. Step 3: Cross multiply
    3,463.34x = 4,778.98 × 1,970.85
  4. Step 4: Simplify right side
    3,463.34x = 9,418,652.73
  5. Step 5: Solve for x
    x = 9,418,652.73/3,463.34
  6. Step 6: Final answer
    x = 2,719.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.