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Finding the Fourth Proportional to 3,416.54, 5,126.26 and 1,442.66

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Solution

The fourth proportional to 3,416.54, 5,126.26 and 1,442.66 is: 2,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.54 : 5,126.26 = 1,442.66 : x
  2. Step 2: Convert to fraction form
    3,416.54/5,126.26 = 1,442.66/x
  3. Step 3: Cross multiply
    3,416.54x = 5,126.26 × 1,442.66
  4. Step 4: Simplify right side
    3,416.54x = 7,395,450.25
  5. Step 5: Solve for x
    x = 7,395,450.25/3,416.54
  6. Step 6: Final answer
    x = 2,164.60

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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.