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Finding the Fourth Proportional to 2,451.69, 3,675.02 and 1,063.86

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Solution

The fourth proportional to 2,451.69, 3,675.02 and 1,063.86 is: 1,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.69 : 3,675.02 = 1,063.86 : x
  2. Step 2: Convert to fraction form
    2,451.69/3,675.02 = 1,063.86/x
  3. Step 3: Cross multiply
    2,451.69x = 3,675.02 × 1,063.86
  4. Step 4: Simplify right side
    2,451.69x = 3,909,706.78
  5. Step 5: Solve for x
    x = 3,909,706.78/2,451.69
  6. Step 6: Final answer
    x = 1,594.70

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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.