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Finding the Fourth Proportional to 2,536.11, 3,803.49 and 976.32

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Solution

The fourth proportional to 2,536.11, 3,803.49 and 976.32 is: 1,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.11 : 3,803.49 = 976.32 : x
  2. Step 2: Convert to fraction form
    2,536.11/3,803.49 = 976.32/x
  3. Step 3: Cross multiply
    2,536.11x = 3,803.49 × 976.32
  4. Step 4: Simplify right side
    2,536.11x = 3,713,423.36
  5. Step 5: Solve for x
    x = 3,713,423.36/2,536.11
  6. Step 6: Final answer
    x = 1,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.