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Finding the Fourth Proportional to 2,558.64, 3,836.02 and 1,325.27

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Solution

The fourth proportional to 2,558.64, 3,836.02 and 1,325.27 is: 1,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.64 : 3,836.02 = 1,325.27 : x
  2. Step 2: Convert to fraction form
    2,558.64/3,836.02 = 1,325.27/x
  3. Step 3: Cross multiply
    2,558.64x = 3,836.02 × 1,325.27
  4. Step 4: Simplify right side
    2,558.64x = 5,083,762.23
  5. Step 5: Solve for x
    x = 5,083,762.23/2,558.64
  6. Step 6: Final answer
    x = 1,986.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.