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Finding the Fourth Proportional to 3,011.78, 4,507.65 and 2,277.32

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Solution

The fourth proportional to 3,011.78, 4,507.65 and 2,277.32 is: 3,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.78 : 4,507.65 = 2,277.32 : x
  2. Step 2: Convert to fraction form
    3,011.78/4,507.65 = 2,277.32/x
  3. Step 3: Cross multiply
    3,011.78x = 4,507.65 × 2,277.32
  4. Step 4: Simplify right side
    3,011.78x = 10,265,338.96
  5. Step 5: Solve for x
    x = 10,265,338.96/3,011.78
  6. Step 6: Final answer
    x = 3,408.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.