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Finding the Fourth Proportional to 2,592, 3,884.73 and 2,042.01

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Solution

The fourth proportional to 2,592, 3,884.73 and 2,042.01 is: 3,060.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592 : 3,884.73 = 2,042.01 : x
  2. Step 2: Convert to fraction form
    2,592/3,884.73 = 2,042.01/x
  3. Step 3: Cross multiply
    2,592x = 3,884.73 × 2,042.01
  4. Step 4: Simplify right side
    2,592x = 7,932,657.51
  5. Step 5: Solve for x
    x = 7,932,657.51/2,592
  6. Step 6: Final answer
    x = 3,060.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.