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Finding the Fourth Proportional to 1,845.52, 2,768.60 and 547.12

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Solution

The fourth proportional to 1,845.52, 2,768.60 and 547.12 is: 820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.52 : 2,768.60 = 547.12 : x
  2. Step 2: Convert to fraction form
    1,845.52/2,768.60 = 547.12/x
  3. Step 3: Cross multiply
    1,845.52x = 2,768.60 × 547.12
  4. Step 4: Simplify right side
    1,845.52x = 1,514,756.43
  5. Step 5: Solve for x
    x = 1,514,756.43/1,845.52
  6. Step 6: Final answer
    x = 820.77

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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.