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Finding the Fourth Proportional to 1,722.94, 2,580.38 and 1,259.56

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Solution

The fourth proportional to 1,722.94, 2,580.38 and 1,259.56 is: 1,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.94 : 2,580.38 = 1,259.56 : x
  2. Step 2: Convert to fraction form
    1,722.94/2,580.38 = 1,259.56/x
  3. Step 3: Cross multiply
    1,722.94x = 2,580.38 × 1,259.56
  4. Step 4: Simplify right side
    1,722.94x = 3,250,143.43
  5. Step 5: Solve for x
    x = 3,250,143.43/1,722.94
  6. Step 6: Final answer
    x = 1,886.39

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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.