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Finding the Fourth Proportional to 3,164.00, 4,365.99 and 1,837.98

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Solution

The fourth proportional to 3,164.00, 4,365.99 and 1,837.98 is: 2,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.00 : 4,365.99 = 1,837.98 : x
  2. Step 2: Convert to fraction form
    3,164.00/4,365.99 = 1,837.98/x
  3. Step 3: Cross multiply
    3,164.00x = 4,365.99 × 1,837.98
  4. Step 4: Simplify right side
    3,164.00x = 8,024,602.30
  5. Step 5: Solve for x
    x = 8,024,602.30/3,164.00
  6. Step 6: Final answer
    x = 2,536.22

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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.