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Finding the Fourth Proportional to 2,521.33, 3,771.82 and 2,258.74

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Solution

The fourth proportional to 2,521.33, 3,771.82 and 2,258.74 is: 3,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.33 : 3,771.82 = 2,258.74 : x
  2. Step 2: Convert to fraction form
    2,521.33/3,771.82 = 2,258.74/x
  3. Step 3: Cross multiply
    2,521.33x = 3,771.82 × 2,258.74
  4. Step 4: Simplify right side
    2,521.33x = 8,519,534.32
  5. Step 5: Solve for x
    x = 8,519,534.32/2,521.33
  6. Step 6: Final answer
    x = 3,378.99

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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.