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Finding the Fourth Proportional to 2,130.82, 2,940.34 and 1,186.44

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Solution

The fourth proportional to 2,130.82, 2,940.34 and 1,186.44 is: 1,637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.82 : 2,940.34 = 1,186.44 : x
  2. Step 2: Convert to fraction form
    2,130.82/2,940.34 = 1,186.44/x
  3. Step 3: Cross multiply
    2,130.82x = 2,940.34 × 1,186.44
  4. Step 4: Simplify right side
    2,130.82x = 3,488,536.99
  5. Step 5: Solve for x
    x = 3,488,536.99/2,130.82
  6. Step 6: Final answer
    x = 1,637.18

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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.