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Finding the Fourth Proportional to 1,715.51, 2,571.44 and 1,255.25

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Solution

The fourth proportional to 1,715.51, 2,571.44 and 1,255.25 is: 1,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.51 : 2,571.44 = 1,255.25 : x
  2. Step 2: Convert to fraction form
    1,715.51/2,571.44 = 1,255.25/x
  3. Step 3: Cross multiply
    1,715.51x = 2,571.44 × 1,255.25
  4. Step 4: Simplify right side
    1,715.51x = 3,227,780.93
  5. Step 5: Solve for x
    x = 3,227,780.93/1,715.51
  6. Step 6: Final answer
    x = 1,881.53

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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.