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Finding the Fourth Proportional to 3,243.39, 4,475.62 and 1,827.01

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Solution

The fourth proportional to 3,243.39, 4,475.62 and 1,827.01 is: 2,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.39 : 4,475.62 = 1,827.01 : x
  2. Step 2: Convert to fraction form
    3,243.39/4,475.62 = 1,827.01/x
  3. Step 3: Cross multiply
    3,243.39x = 4,475.62 × 1,827.01
  4. Step 4: Simplify right side
    3,243.39x = 8,176,997.93
  5. Step 5: Solve for x
    x = 8,176,997.93/3,243.39
  6. Step 6: Final answer
    x = 2,521.13

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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.