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Finding the Fourth Proportional to 1,724.82, 2,588.24 and 629.16

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Solution

The fourth proportional to 1,724.82, 2,588.24 and 629.16 is: 944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.82 : 2,588.24 = 629.16 : x
  2. Step 2: Convert to fraction form
    1,724.82/2,588.24 = 629.16/x
  3. Step 3: Cross multiply
    1,724.82x = 2,588.24 × 629.16
  4. Step 4: Simplify right side
    1,724.82x = 1,628,417.08
  5. Step 5: Solve for x
    x = 1,628,417.08/1,724.82
  6. Step 6: Final answer
    x = 944.11

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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.