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Finding the Fourth Proportional to 2,186.95, 3,018.01 and 1,192.22

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Solution

The fourth proportional to 2,186.95, 3,018.01 and 1,192.22 is: 1,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.95 : 3,018.01 = 1,192.22 : x
  2. Step 2: Convert to fraction form
    2,186.95/3,018.01 = 1,192.22/x
  3. Step 3: Cross multiply
    2,186.95x = 3,018.01 × 1,192.22
  4. Step 4: Simplify right side
    2,186.95x = 3,598,116.79
  5. Step 5: Solve for x
    x = 3,598,116.79/2,186.95
  6. Step 6: Final answer
    x = 1,645.27

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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.