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Finding the Fourth Proportional to 1,724.51, 2,587.12 and 684.32

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Solution

The fourth proportional to 1,724.51, 2,587.12 and 684.32 is: 1,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.51 : 2,587.12 = 684.32 : x
  2. Step 2: Convert to fraction form
    1,724.51/2,587.12 = 684.32/x
  3. Step 3: Cross multiply
    1,724.51x = 2,587.12 × 684.32
  4. Step 4: Simplify right side
    1,724.51x = 1,770,403.31
  5. Step 5: Solve for x
    x = 1,770,403.31/1,724.51
  6. Step 6: Final answer
    x = 1,026.61

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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.