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Finding the Fourth Proportional to 2,575.51, 3,863.26 and 1,276.67

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Solution

The fourth proportional to 2,575.51, 3,863.26 and 1,276.67 is: 1,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.51 : 3,863.26 = 1,276.67 : x
  2. Step 2: Convert to fraction form
    2,575.51/3,863.26 = 1,276.67/x
  3. Step 3: Cross multiply
    2,575.51x = 3,863.26 × 1,276.67
  4. Step 4: Simplify right side
    2,575.51x = 4,932,108.14
  5. Step 5: Solve for x
    x = 4,932,108.14/2,575.51
  6. Step 6: Final answer
    x = 1,915.00

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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.