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Finding the Fourth Proportional to 2,513.40, 3,764.70 and 2,027.40

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Solution

The fourth proportional to 2,513.40, 3,764.70 and 2,027.40 is: 3,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.40 : 3,764.70 = 2,027.40 : x
  2. Step 2: Convert to fraction form
    2,513.40/3,764.70 = 2,027.40/x
  3. Step 3: Cross multiply
    2,513.40x = 3,764.70 × 2,027.40
  4. Step 4: Simplify right side
    2,513.40x = 7,632,552.78
  5. Step 5: Solve for x
    x = 7,632,552.78/2,513.40
  6. Step 6: Final answer
    x = 3,036.74

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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.