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Finding the Fourth Proportional to 2,534.56, 3,798 and 994.72

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Solution

The fourth proportional to 2,534.56, 3,798 and 994.72 is: 1,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.56 : 3,798 = 994.72 : x
  2. Step 2: Convert to fraction form
    2,534.56/3,798 = 994.72/x
  3. Step 3: Cross multiply
    2,534.56x = 3,798 × 994.72
  4. Step 4: Simplify right side
    2,534.56x = 3,777,946.56
  5. Step 5: Solve for x
    x = 3,777,946.56/2,534.56
  6. Step 6: Final answer
    x = 1,490.57

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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.