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Finding the Fourth Proportional to 2,558.97, 3,838.32 and 1,260

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Solution

The fourth proportional to 2,558.97, 3,838.32 and 1,260 is: 1,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.97 : 3,838.32 = 1,260 : x
  2. Step 2: Convert to fraction form
    2,558.97/3,838.32 = 1,260/x
  3. Step 3: Cross multiply
    2,558.97x = 3,838.32 × 1,260
  4. Step 4: Simplify right side
    2,558.97x = 4,836,283.20
  5. Step 5: Solve for x
    x = 4,836,283.20/2,558.97
  6. Step 6: Final answer
    x = 1,889.93

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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.