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Finding the Fourth Proportional to 1,724.74, 2,588.41 and 1,263.70

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Solution

The fourth proportional to 1,724.74, 2,588.41 and 1,263.70 is: 1,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.74 : 2,588.41 = 1,263.70 : x
  2. Step 2: Convert to fraction form
    1,724.74/2,588.41 = 1,263.70/x
  3. Step 3: Cross multiply
    1,724.74x = 2,588.41 × 1,263.70
  4. Step 4: Simplify right side
    1,724.74x = 3,270,954.46
  5. Step 5: Solve for x
    x = 3,270,954.46/1,724.74
  6. Step 6: Final answer
    x = 1,896.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.