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Finding the Fourth Proportional to 2,465.54, 3,692.82 and 2,273.47

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Solution

The fourth proportional to 2,465.54, 3,692.82 and 2,273.47 is: 3,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.54 : 3,692.82 = 2,273.47 : x
  2. Step 2: Convert to fraction form
    2,465.54/3,692.82 = 2,273.47/x
  3. Step 3: Cross multiply
    2,465.54x = 3,692.82 × 2,273.47
  4. Step 4: Simplify right side
    2,465.54x = 8,395,514.78
  5. Step 5: Solve for x
    x = 8,395,514.78/2,465.54
  6. Step 6: Final answer
    x = 3,405.14

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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.