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Finding the Fourth Proportional to 1,724.06, 2,586.50 and 569.81

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Solution

The fourth proportional to 1,724.06, 2,586.50 and 569.81 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.06 : 2,586.50 = 569.81 : x
  2. Step 2: Convert to fraction form
    1,724.06/2,586.50 = 569.81/x
  3. Step 3: Cross multiply
    1,724.06x = 2,586.50 × 569.81
  4. Step 4: Simplify right side
    1,724.06x = 1,473,819.32
  5. Step 5: Solve for x
    x = 1,473,819.32/1,724.06
  6. Step 6: Final answer
    x = 854.85

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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.