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Finding the Fourth Proportional to 2,530.14, 3,793.02 and 1,662.54

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Solution

The fourth proportional to 2,530.14, 3,793.02 and 1,662.54 is: 2,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.14 : 3,793.02 = 1,662.54 : x
  2. Step 2: Convert to fraction form
    2,530.14/3,793.02 = 1,662.54/x
  3. Step 3: Cross multiply
    2,530.14x = 3,793.02 × 1,662.54
  4. Step 4: Simplify right side
    2,530.14x = 6,306,047.47
  5. Step 5: Solve for x
    x = 6,306,047.47/2,530.14
  6. Step 6: Final answer
    x = 2,492.37

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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.