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Finding the Fourth Proportional to 2,564.84, 3,847.09 and 1,004.55

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Solution

The fourth proportional to 2,564.84, 3,847.09 and 1,004.55 is: 1,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.84 : 3,847.09 = 1,004.55 : x
  2. Step 2: Convert to fraction form
    2,564.84/3,847.09 = 1,004.55/x
  3. Step 3: Cross multiply
    2,564.84x = 3,847.09 × 1,004.55
  4. Step 4: Simplify right side
    2,564.84x = 3,864,594.26
  5. Step 5: Solve for x
    x = 3,864,594.26/2,564.84
  6. Step 6: Final answer
    x = 1,506.76

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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.