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Finding the Fourth Proportional to 1,738.36, 2,606.73 and 1,008.15

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Solution

The fourth proportional to 1,738.36, 2,606.73 and 1,008.15 is: 1,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.36 : 2,606.73 = 1,008.15 : x
  2. Step 2: Convert to fraction form
    1,738.36/2,606.73 = 1,008.15/x
  3. Step 3: Cross multiply
    1,738.36x = 2,606.73 × 1,008.15
  4. Step 4: Simplify right side
    1,738.36x = 2,627,966.96
  5. Step 5: Solve for x
    x = 2,627,966.96/1,738.36
  6. Step 6: Final answer
    x = 1,511.75

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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.