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Finding the Fourth Proportional to 2,536.41, 3,805.08 and 976.35

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Solution

The fourth proportional to 2,536.41, 3,805.08 and 976.35 is: 1,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.41 : 3,805.08 = 976.35 : x
  2. Step 2: Convert to fraction form
    2,536.41/3,805.08 = 976.35/x
  3. Step 3: Cross multiply
    2,536.41x = 3,805.08 × 976.35
  4. Step 4: Simplify right side
    2,536.41x = 3,715,089.86
  5. Step 5: Solve for x
    x = 3,715,089.86/2,536.41
  6. Step 6: Final answer
    x = 1,464.70

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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.