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Finding the Fourth Proportional to 2,486.00, 3,730.82 and 1,188.38

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Solution

The fourth proportional to 2,486.00, 3,730.82 and 1,188.38 is: 1,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.00 : 3,730.82 = 1,188.38 : x
  2. Step 2: Convert to fraction form
    2,486.00/3,730.82 = 1,188.38/x
  3. Step 3: Cross multiply
    2,486.00x = 3,730.82 × 1,188.38
  4. Step 4: Simplify right side
    2,486.00x = 4,433,607.28
  5. Step 5: Solve for x
    x = 4,433,607.28/2,486.00
  6. Step 6: Final answer
    x = 1,783.43

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