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Finding the Fourth Proportional to 3,202.93, 4,420.47 and 1,877.16

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Solution

The fourth proportional to 3,202.93, 4,420.47 and 1,877.16 is: 2,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.93 : 4,420.47 = 1,877.16 : x
  2. Step 2: Convert to fraction form
    3,202.93/4,420.47 = 1,877.16/x
  3. Step 3: Cross multiply
    3,202.93x = 4,420.47 × 1,877.16
  4. Step 4: Simplify right side
    3,202.93x = 8,297,929.47
  5. Step 5: Solve for x
    x = 8,297,929.47/3,202.93
  6. Step 6: Final answer
    x = 2,590.73

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