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Finding the Fourth Proportional to 2,564.72, 3,846.60 and 1,004.66

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Solution

The fourth proportional to 2,564.72, 3,846.60 and 1,004.66 is: 1,506.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.72 : 3,846.60 = 1,004.66 : x
  2. Step 2: Convert to fraction form
    2,564.72/3,846.60 = 1,004.66/x
  3. Step 3: Cross multiply
    2,564.72x = 3,846.60 × 1,004.66
  4. Step 4: Simplify right side
    2,564.72x = 3,864,525.16
  5. Step 5: Solve for x
    x = 3,864,525.16/2,564.72
  6. Step 6: Final answer
    x = 1,506.80

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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.