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Finding the Fourth Proportional to 2,652.88, 3,661.32 and 1,814.44

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Solution

The fourth proportional to 2,652.88, 3,661.32 and 1,814.44 is: 2,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.88 : 3,661.32 = 1,814.44 : x
  2. Step 2: Convert to fraction form
    2,652.88/3,661.32 = 1,814.44/x
  3. Step 3: Cross multiply
    2,652.88x = 3,661.32 × 1,814.44
  4. Step 4: Simplify right side
    2,652.88x = 6,643,245.46
  5. Step 5: Solve for x
    x = 6,643,245.46/2,652.88
  6. Step 6: Final answer
    x = 2,504.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.