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Finding the Fourth Proportional to 3,100.69, 4,651.84 and 1,370.53

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Solution

The fourth proportional to 3,100.69, 4,651.84 and 1,370.53 is: 2,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.69 : 4,651.84 = 1,370.53 : x
  2. Step 2: Convert to fraction form
    3,100.69/4,651.84 = 1,370.53/x
  3. Step 3: Cross multiply
    3,100.69x = 4,651.84 × 1,370.53
  4. Step 4: Simplify right side
    3,100.69x = 6,375,463.02
  5. Step 5: Solve for x
    x = 6,375,463.02/3,100.69
  6. Step 6: Final answer
    x = 2,056.15

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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.