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Finding the Fourth Proportional to 3,280.74, 4,525.70 and 1,953.50

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Solution

The fourth proportional to 3,280.74, 4,525.70 and 1,953.50 is: 2,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.74 : 4,525.70 = 1,953.50 : x
  2. Step 2: Convert to fraction form
    3,280.74/4,525.70 = 1,953.50/x
  3. Step 3: Cross multiply
    3,280.74x = 4,525.70 × 1,953.50
  4. Step 4: Simplify right side
    3,280.74x = 8,840,954.95
  5. Step 5: Solve for x
    x = 8,840,954.95/3,280.74
  6. Step 6: Final answer
    x = 2,694.81

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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.