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Finding the Fourth Proportional to 1,724.26, 2,586.74 and 684.07

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Solution

The fourth proportional to 1,724.26, 2,586.74 and 684.07 is: 1,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.26 : 2,586.74 = 684.07 : x
  2. Step 2: Convert to fraction form
    1,724.26/2,586.74 = 684.07/x
  3. Step 3: Cross multiply
    1,724.26x = 2,586.74 × 684.07
  4. Step 4: Simplify right side
    1,724.26x = 1,769,511.23
  5. Step 5: Solve for x
    x = 1,769,511.23/1,724.26
  6. Step 6: Final answer
    x = 1,026.24

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1.5x scale

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.