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Finding the Fourth Proportional to 1,725.18, 2,586.82 and 684.12

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Solution

The fourth proportional to 1,725.18, 2,586.82 and 684.12 is: 1,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.18 : 2,586.82 = 684.12 : x
  2. Step 2: Convert to fraction form
    1,725.18/2,586.82 = 684.12/x
  3. Step 3: Cross multiply
    1,725.18x = 2,586.82 × 684.12
  4. Step 4: Simplify right side
    1,725.18x = 1,769,695.30
  5. Step 5: Solve for x
    x = 1,769,695.30/1,725.18
  6. Step 6: Final answer
    x = 1,025.80

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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.