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Finding the Fourth Proportional to 2,035.57, 3,053.36 and 994.69

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Solution

The fourth proportional to 2,035.57, 3,053.36 and 994.69 is: 1,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.57 : 3,053.36 = 994.69 : x
  2. Step 2: Convert to fraction form
    2,035.57/3,053.36 = 994.69/x
  3. Step 3: Cross multiply
    2,035.57x = 3,053.36 × 994.69
  4. Step 4: Simplify right side
    2,035.57x = 3,037,146.66
  5. Step 5: Solve for x
    x = 3,037,146.66/2,035.57
  6. Step 6: Final answer
    x = 1,492.04

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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.