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Finding the Fourth Proportional to 2,145.67, 3,221.43 and 1,106.53

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Solution

The fourth proportional to 2,145.67, 3,221.43 and 1,106.53 is: 1,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.67 : 3,221.43 = 1,106.53 : x
  2. Step 2: Convert to fraction form
    2,145.67/3,221.43 = 1,106.53/x
  3. Step 3: Cross multiply
    2,145.67x = 3,221.43 × 1,106.53
  4. Step 4: Simplify right side
    2,145.67x = 3,564,608.94
  5. Step 5: Solve for x
    x = 3,564,608.94/2,145.67
  6. Step 6: Final answer
    x = 1,661.30

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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.