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Finding the Fourth Proportional to 2,022.54, 3,034.71 and 1,762.80

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Solution

The fourth proportional to 2,022.54, 3,034.71 and 1,762.80 is: 2,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.54 : 3,034.71 = 1,762.80 : x
  2. Step 2: Convert to fraction form
    2,022.54/3,034.71 = 1,762.80/x
  3. Step 3: Cross multiply
    2,022.54x = 3,034.71 × 1,762.80
  4. Step 4: Simplify right side
    2,022.54x = 5,349,586.79
  5. Step 5: Solve for x
    x = 5,349,586.79/2,022.54
  6. Step 6: Final answer
    x = 2,644.98

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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.