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Finding the Fourth Proportional to 2,549.64, 3,826.62 and 1,011.72

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Solution

The fourth proportional to 2,549.64, 3,826.62 and 1,011.72 is: 1,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.64 : 3,826.62 = 1,011.72 : x
  2. Step 2: Convert to fraction form
    2,549.64/3,826.62 = 1,011.72/x
  3. Step 3: Cross multiply
    2,549.64x = 3,826.62 × 1,011.72
  4. Step 4: Simplify right side
    2,549.64x = 3,871,467.99
  5. Step 5: Solve for x
    x = 3,871,467.99/2,549.64
  6. Step 6: Final answer
    x = 1,518.44

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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.