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Finding the Fourth Proportional to 3,262.83, 4,502.62 and 1,807.56

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Solution

The fourth proportional to 3,262.83, 4,502.62 and 1,807.56 is: 2,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.83 : 4,502.62 = 1,807.56 : x
  2. Step 2: Convert to fraction form
    3,262.83/4,502.62 = 1,807.56/x
  3. Step 3: Cross multiply
    3,262.83x = 4,502.62 × 1,807.56
  4. Step 4: Simplify right side
    3,262.83x = 8,138,740.03
  5. Step 5: Solve for x
    x = 8,138,740.03/3,262.83
  6. Step 6: Final answer
    x = 2,494.38

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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.