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Finding the Fourth Proportional to 2,187.64, 3,018.93 and 1,192.93

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Solution

The fourth proportional to 2,187.64, 3,018.93 and 1,192.93 is: 1,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.64 : 3,018.93 = 1,192.93 : x
  2. Step 2: Convert to fraction form
    2,187.64/3,018.93 = 1,192.93/x
  3. Step 3: Cross multiply
    2,187.64x = 3,018.93 × 1,192.93
  4. Step 4: Simplify right side
    2,187.64x = 3,601,364.62
  5. Step 5: Solve for x
    x = 3,601,364.62/2,187.64
  6. Step 6: Final answer
    x = 1,646.23

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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.