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Finding the Fourth Proportional to 2,546.83, 3,513.59 and 1,484.42

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Solution

The fourth proportional to 2,546.83, 3,513.59 and 1,484.42 is: 2,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.83 : 3,513.59 = 1,484.42 : x
  2. Step 2: Convert to fraction form
    2,546.83/3,513.59 = 1,484.42/x
  3. Step 3: Cross multiply
    2,546.83x = 3,513.59 × 1,484.42
  4. Step 4: Simplify right side
    2,546.83x = 5,215,635.85
  5. Step 5: Solve for x
    x = 5,215,635.85/2,546.83
  6. Step 6: Final answer
    x = 2,047.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.