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Finding the Fourth Proportional to 1,725.58, 2,587.36 and 684.73

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Solution

The fourth proportional to 1,725.58, 2,587.36 and 684.73 is: 1,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.58 : 2,587.36 = 684.73 : x
  2. Step 2: Convert to fraction form
    1,725.58/2,587.36 = 684.73/x
  3. Step 3: Cross multiply
    1,725.58x = 2,587.36 × 684.73
  4. Step 4: Simplify right side
    1,725.58x = 1,771,643.01
  5. Step 5: Solve for x
    x = 1,771,643.01/1,725.58
  6. Step 6: Final answer
    x = 1,026.69

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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.