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Finding the Fourth Proportional to 1,725.22, 2,586.14 and 684.87

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Solution

The fourth proportional to 1,725.22, 2,586.14 and 684.87 is: 1,026.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.22 : 2,586.14 = 684.87 : x
  2. Step 2: Convert to fraction form
    1,725.22/2,586.14 = 684.87/x
  3. Step 3: Cross multiply
    1,725.22x = 2,586.14 × 684.87
  4. Step 4: Simplify right side
    1,725.22x = 1,771,178.54
  5. Step 5: Solve for x
    x = 1,771,178.54/1,725.22
  6. Step 6: Final answer
    x = 1,026.64

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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.