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Finding the Fourth Proportional to 2,329.05, 3,213.63 and 1,542.63

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Solution

The fourth proportional to 2,329.05, 3,213.63 and 1,542.63 is: 2,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.05 : 3,213.63 = 1,542.63 : x
  2. Step 2: Convert to fraction form
    2,329.05/3,213.63 = 1,542.63/x
  3. Step 3: Cross multiply
    2,329.05x = 3,213.63 × 1,542.63
  4. Step 4: Simplify right side
    2,329.05x = 4,957,442.05
  5. Step 5: Solve for x
    x = 4,957,442.05/2,329.05
  6. Step 6: Final answer
    x = 2,128.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.