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Finding the Fourth Proportional to 2,124.63, 3,186.77 and 737.82

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Solution

The fourth proportional to 2,124.63, 3,186.77 and 737.82 is: 1,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.63 : 3,186.77 = 737.82 : x
  2. Step 2: Convert to fraction form
    2,124.63/3,186.77 = 737.82/x
  3. Step 3: Cross multiply
    2,124.63x = 3,186.77 × 737.82
  4. Step 4: Simplify right side
    2,124.63x = 2,351,258.95
  5. Step 5: Solve for x
    x = 2,351,258.95/2,124.63
  6. Step 6: Final answer
    x = 1,106.67

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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.