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Finding the Fourth Proportional to 1,704.54, 2,558.08 and 1,266.80

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Solution

The fourth proportional to 1,704.54, 2,558.08 and 1,266.80 is: 1,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.54 : 2,558.08 = 1,266.80 : x
  2. Step 2: Convert to fraction form
    1,704.54/2,558.08 = 1,266.80/x
  3. Step 3: Cross multiply
    1,704.54x = 2,558.08 × 1,266.80
  4. Step 4: Simplify right side
    1,704.54x = 3,240,575.74
  5. Step 5: Solve for x
    x = 3,240,575.74/1,704.54
  6. Step 6: Final answer
    x = 1,901.14

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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.