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Finding the Fourth Proportional to 2,537.53, 3,805.85 and 977.27

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Solution

The fourth proportional to 2,537.53, 3,805.85 and 977.27 is: 1,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.53 : 3,805.85 = 977.27 : x
  2. Step 2: Convert to fraction form
    2,537.53/3,805.85 = 977.27/x
  3. Step 3: Cross multiply
    2,537.53x = 3,805.85 × 977.27
  4. Step 4: Simplify right side
    2,537.53x = 3,719,326.44
  5. Step 5: Solve for x
    x = 3,719,326.44/2,537.53
  6. Step 6: Final answer
    x = 1,465.73

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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.