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Finding the Fourth Proportional to 3,282.55, 4,529.94 and 1,790.47

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Solution

The fourth proportional to 3,282.55, 4,529.94 and 1,790.47 is: 2,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.55 : 4,529.94 = 1,790.47 : x
  2. Step 2: Convert to fraction form
    3,282.55/4,529.94 = 1,790.47/x
  3. Step 3: Cross multiply
    3,282.55x = 4,529.94 × 1,790.47
  4. Step 4: Simplify right side
    3,282.55x = 8,110,721.67
  5. Step 5: Solve for x
    x = 8,110,721.67/3,282.55
  6. Step 6: Final answer
    x = 2,470.86

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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.