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Finding the Fourth Proportional to 2,149.40, 3,222.30 and 1,123.40

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Solution

The fourth proportional to 2,149.40, 3,222.30 and 1,123.40 is: 1,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.40 : 3,222.30 = 1,123.40 : x
  2. Step 2: Convert to fraction form
    2,149.40/3,222.30 = 1,123.40/x
  3. Step 3: Cross multiply
    2,149.40x = 3,222.30 × 1,123.40
  4. Step 4: Simplify right side
    2,149.40x = 3,619,931.82
  5. Step 5: Solve for x
    x = 3,619,931.82/2,149.40
  6. Step 6: Final answer
    x = 1,684.16

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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.