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Finding the Fourth Proportional to 2,211.88, 3,052.54 and 1,464.54

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Solution

The fourth proportional to 2,211.88, 3,052.54 and 1,464.54 is: 2,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.88 : 3,052.54 = 1,464.54 : x
  2. Step 2: Convert to fraction form
    2,211.88/3,052.54 = 1,464.54/x
  3. Step 3: Cross multiply
    2,211.88x = 3,052.54 × 1,464.54
  4. Step 4: Simplify right side
    2,211.88x = 4,470,566.93
  5. Step 5: Solve for x
    x = 4,470,566.93/2,211.88
  6. Step 6: Final answer
    x = 2,021.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.