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Finding the Fourth Proportional to 2,258.64, 3,093.57 and 2,125.80

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Solution

The fourth proportional to 2,258.64, 3,093.57 and 2,125.80 is: 2,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.64 : 3,093.57 = 2,125.80 : x
  2. Step 2: Convert to fraction form
    2,258.64/3,093.57 = 2,125.80/x
  3. Step 3: Cross multiply
    2,258.64x = 3,093.57 × 2,125.80
  4. Step 4: Simplify right side
    2,258.64x = 6,576,311.11
  5. Step 5: Solve for x
    x = 6,576,311.11/2,258.64
  6. Step 6: Final answer
    x = 2,911.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.