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Finding the Fourth Proportional to 2,542.35, 3,812.35 and 1,155.63

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Solution

The fourth proportional to 2,542.35, 3,812.35 and 1,155.63 is: 1,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.35 : 3,812.35 = 1,155.63 : x
  2. Step 2: Convert to fraction form
    2,542.35/3,812.35 = 1,155.63/x
  3. Step 3: Cross multiply
    2,542.35x = 3,812.35 × 1,155.63
  4. Step 4: Simplify right side
    2,542.35x = 4,405,666.03
  5. Step 5: Solve for x
    x = 4,405,666.03/2,542.35
  6. Step 6: Final answer
    x = 1,732.91

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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.