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Finding the Fourth Proportional to 1,725.29, 2,586.66 and 629.66

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Solution

The fourth proportional to 1,725.29, 2,586.66 and 629.66 is: 944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.29 : 2,586.66 = 629.66 : x
  2. Step 2: Convert to fraction form
    1,725.29/2,586.66 = 629.66/x
  3. Step 3: Cross multiply
    1,725.29x = 2,586.66 × 629.66
  4. Step 4: Simplify right side
    1,725.29x = 1,628,703.40
  5. Step 5: Solve for x
    x = 1,628,703.40/1,725.29
  6. Step 6: Final answer
    x = 944.02

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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.