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Finding the Fourth Proportional to 2,124.20, 3,186.21 and 737.85

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Solution

The fourth proportional to 2,124.20, 3,186.21 and 737.85 is: 1,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.20 : 3,186.21 = 737.85 : x
  2. Step 2: Convert to fraction form
    2,124.20/3,186.21 = 737.85/x
  3. Step 3: Cross multiply
    2,124.20x = 3,186.21 × 737.85
  4. Step 4: Simplify right side
    2,124.20x = 2,350,925.43
  5. Step 5: Solve for x
    x = 2,350,925.43/2,124.20
  6. Step 6: Final answer
    x = 1,106.74

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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.