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Finding the Fourth Proportional to 2,168.89, 3,254.42 and 782.55

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Solution

The fourth proportional to 2,168.89, 3,254.42 and 782.55 is: 1,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.89 : 3,254.42 = 782.55 : x
  2. Step 2: Convert to fraction form
    2,168.89/3,254.42 = 782.55/x
  3. Step 3: Cross multiply
    2,168.89x = 3,254.42 × 782.55
  4. Step 4: Simplify right side
    2,168.89x = 2,546,746.37
  5. Step 5: Solve for x
    x = 2,546,746.37/2,168.89
  6. Step 6: Final answer
    x = 1,174.22

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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.