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Finding the Fourth Proportional to 3,202.86, 4,420.10 and 1,877.02

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Solution

The fourth proportional to 3,202.86, 4,420.10 and 1,877.02 is: 2,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.86 : 4,420.10 = 1,877.02 : x
  2. Step 2: Convert to fraction form
    3,202.86/4,420.10 = 1,877.02/x
  3. Step 3: Cross multiply
    3,202.86x = 4,420.10 × 1,877.02
  4. Step 4: Simplify right side
    3,202.86x = 8,296,616.10
  5. Step 5: Solve for x
    x = 8,296,616.10/3,202.86
  6. Step 6: Final answer
    x = 2,590.38

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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.