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Finding the Fourth Proportional to 2,420.66, 3,628.02 and 1,188.38

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Solution

The fourth proportional to 2,420.66, 3,628.02 and 1,188.38 is: 1,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.66 : 3,628.02 = 1,188.38 : x
  2. Step 2: Convert to fraction form
    2,420.66/3,628.02 = 1,188.38/x
  3. Step 3: Cross multiply
    2,420.66x = 3,628.02 × 1,188.38
  4. Step 4: Simplify right side
    2,420.66x = 4,311,466.41
  5. Step 5: Solve for x
    x = 4,311,466.41/2,420.66
  6. Step 6: Final answer
    x = 1,781.11

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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.