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Finding the Fourth Proportional to 3,280.91, 4,526.52 and 2,102.63

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Solution

The fourth proportional to 3,280.91, 4,526.52 and 2,102.63 is: 2,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280.91 : 4,526.52 = 2,102.63 : x
  2. Step 2: Convert to fraction form
    3,280.91/4,526.52 = 2,102.63/x
  3. Step 3: Cross multiply
    3,280.91x = 4,526.52 × 2,102.63
  4. Step 4: Simplify right side
    3,280.91x = 9,517,596.75
  5. Step 5: Solve for x
    x = 9,517,596.75/3,280.91
  6. Step 6: Final answer
    x = 2,900.90

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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.