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Finding the Fourth Proportional to 2,546.59, 3,515.04 and 1,662.52

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Solution

The fourth proportional to 2,546.59, 3,515.04 and 1,662.52 is: 2,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.59 : 3,515.04 = 1,662.52 : x
  2. Step 2: Convert to fraction form
    2,546.59/3,515.04 = 1,662.52/x
  3. Step 3: Cross multiply
    2,546.59x = 3,515.04 × 1,662.52
  4. Step 4: Simplify right side
    2,546.59x = 5,843,828.93
  5. Step 5: Solve for x
    x = 5,843,828.93/2,546.59
  6. Step 6: Final answer
    x = 2,294.77

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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.