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Finding the Fourth Proportional to 2,100.42, 3,149.58 and 1,223.21

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Solution

The fourth proportional to 2,100.42, 3,149.58 and 1,223.21 is: 1,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.42 : 3,149.58 = 1,223.21 : x
  2. Step 2: Convert to fraction form
    2,100.42/3,149.58 = 1,223.21/x
  3. Step 3: Cross multiply
    2,100.42x = 3,149.58 × 1,223.21
  4. Step 4: Simplify right side
    2,100.42x = 3,852,597.75
  5. Step 5: Solve for x
    x = 3,852,597.75/2,100.42
  6. Step 6: Final answer
    x = 1,834.20

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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.