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Finding the Fourth Proportional to 3,153.78, 4,723.44 and 1,511.46

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Solution

The fourth proportional to 3,153.78, 4,723.44 and 1,511.46 is: 2,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.78 : 4,723.44 = 1,511.46 : x
  2. Step 2: Convert to fraction form
    3,153.78/4,723.44 = 1,511.46/x
  3. Step 3: Cross multiply
    3,153.78x = 4,723.44 × 1,511.46
  4. Step 4: Simplify right side
    3,153.78x = 7,139,290.62
  5. Step 5: Solve for x
    x = 7,139,290.62/3,153.78
  6. Step 6: Final answer
    x = 2,263.72

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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.