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Finding the Fourth Proportional to 2,781.06, 4,188.02 and 2,420.19

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Solution

The fourth proportional to 2,781.06, 4,188.02 and 2,420.19 is: 3,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.06 : 4,188.02 = 2,420.19 : x
  2. Step 2: Convert to fraction form
    2,781.06/4,188.02 = 2,420.19/x
  3. Step 3: Cross multiply
    2,781.06x = 4,188.02 × 2,420.19
  4. Step 4: Simplify right side
    2,781.06x = 10,135,792.02
  5. Step 5: Solve for x
    x = 10,135,792.02/2,781.06
  6. Step 6: Final answer
    x = 3,644.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.