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Finding the Fourth Proportional to 2,037.94, 3,056.91 and 498.94

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Solution

The fourth proportional to 2,037.94, 3,056.91 and 498.94 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.94 : 3,056.91 = 498.94 : x
  2. Step 2: Convert to fraction form
    2,037.94/3,056.91 = 498.94/x
  3. Step 3: Cross multiply
    2,037.94x = 3,056.91 × 498.94
  4. Step 4: Simplify right side
    2,037.94x = 1,525,207.03
  5. Step 5: Solve for x
    x = 1,525,207.03/2,037.94
  6. Step 6: Final answer
    x = 748.41

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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.