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Finding the Fourth Proportional to 1,723.48, 2,586.12 and 750.26

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Solution

The fourth proportional to 1,723.48, 2,586.12 and 750.26 is: 1,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.48 : 2,586.12 = 750.26 : x
  2. Step 2: Convert to fraction form
    1,723.48/2,586.12 = 750.26/x
  3. Step 3: Cross multiply
    1,723.48x = 2,586.12 × 750.26
  4. Step 4: Simplify right side
    1,723.48x = 1,940,262.39
  5. Step 5: Solve for x
    x = 1,940,262.39/1,723.48
  6. Step 6: Final answer
    x = 1,125.78

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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.