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Finding the Fourth Proportional to 1,877.82, 2,819.22 and 1,507.86

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Solution

The fourth proportional to 1,877.82, 2,819.22 and 1,507.86 is: 2,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.82 : 2,819.22 = 1,507.86 : x
  2. Step 2: Convert to fraction form
    1,877.82/2,819.22 = 1,507.86/x
  3. Step 3: Cross multiply
    1,877.82x = 2,819.22 × 1,507.86
  4. Step 4: Simplify right side
    1,877.82x = 4,250,989.07
  5. Step 5: Solve for x
    x = 4,250,989.07/1,877.82
  6. Step 6: Final answer
    x = 2,263.79

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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.