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Finding the Fourth Proportional to 2,145.78, 3,209.77 and 2,014.56

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Solution

The fourth proportional to 2,145.78, 3,209.77 and 2,014.56 is: 3,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.78 : 3,209.77 = 2,014.56 : x
  2. Step 2: Convert to fraction form
    2,145.78/3,209.77 = 2,014.56/x
  3. Step 3: Cross multiply
    2,145.78x = 3,209.77 × 2,014.56
  4. Step 4: Simplify right side
    2,145.78x = 6,466,276.77
  5. Step 5: Solve for x
    x = 6,466,276.77/2,145.78
  6. Step 6: Final answer
    x = 3,013.49

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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.