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Finding the Fourth Proportional to 1,736.58, 2,395.01 and 1,295.54

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Solution

The fourth proportional to 1,736.58, 2,395.01 and 1,295.54 is: 1,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.58 : 2,395.01 = 1,295.54 : x
  2. Step 2: Convert to fraction form
    1,736.58/2,395.01 = 1,295.54/x
  3. Step 3: Cross multiply
    1,736.58x = 2,395.01 × 1,295.54
  4. Step 4: Simplify right side
    1,736.58x = 3,102,812.80
  5. Step 5: Solve for x
    x = 3,102,812.80/1,736.58
  6. Step 6: Final answer
    x = 1,786.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.