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Finding the Fourth Proportional to 2,467.98, 3,404.25 and 1,877.22

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Solution

The fourth proportional to 2,467.98, 3,404.25 and 1,877.22 is: 2,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.98 : 3,404.25 = 1,877.22 : x
  2. Step 2: Convert to fraction form
    2,467.98/3,404.25 = 1,877.22/x
  3. Step 3: Cross multiply
    2,467.98x = 3,404.25 × 1,877.22
  4. Step 4: Simplify right side
    2,467.98x = 6,390,526.19
  5. Step 5: Solve for x
    x = 6,390,526.19/2,467.98
  6. Step 6: Final answer
    x = 2,589.38

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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.