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Finding the Fourth Proportional to 2,037.47, 3,056.19 and 738.63

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Solution

The fourth proportional to 2,037.47, 3,056.19 and 738.63 is: 1,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.47 : 3,056.19 = 738.63 : x
  2. Step 2: Convert to fraction form
    2,037.47/3,056.19 = 738.63/x
  3. Step 3: Cross multiply
    2,037.47x = 3,056.19 × 738.63
  4. Step 4: Simplify right side
    2,037.47x = 2,257,393.62
  5. Step 5: Solve for x
    x = 2,257,393.62/2,037.47
  6. Step 6: Final answer
    x = 1,107.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.