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Finding the Fourth Proportional to 2,518.16, 3,779.64 and 1,546.16

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Solution

The fourth proportional to 2,518.16, 3,779.64 and 1,546.16 is: 2,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.16 : 3,779.64 = 1,546.16 : x
  2. Step 2: Convert to fraction form
    2,518.16/3,779.64 = 1,546.16/x
  3. Step 3: Cross multiply
    2,518.16x = 3,779.64 × 1,546.16
  4. Step 4: Simplify right side
    2,518.16x = 5,843,928.18
  5. Step 5: Solve for x
    x = 5,843,928.18/2,518.16
  6. Step 6: Final answer
    x = 2,320.71

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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.