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Finding the Fourth Proportional to 2,124.37, 3,186.15 and 738.61

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Solution

The fourth proportional to 2,124.37, 3,186.15 and 738.61 is: 1,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.37 : 3,186.15 = 738.61 : x
  2. Step 2: Convert to fraction form
    2,124.37/3,186.15 = 738.61/x
  3. Step 3: Cross multiply
    2,124.37x = 3,186.15 × 738.61
  4. Step 4: Simplify right side
    2,124.37x = 2,353,322.25
  5. Step 5: Solve for x
    x = 2,353,322.25/2,124.37
  6. Step 6: Final answer
    x = 1,107.77

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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.