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Finding the Fourth Proportional to 1,571.51, 2,166.20 and 1,255.78

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Solution

The fourth proportional to 1,571.51, 2,166.20 and 1,255.78 is: 1,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.51 : 2,166.20 = 1,255.78 : x
  2. Step 2: Convert to fraction form
    1,571.51/2,166.20 = 1,255.78/x
  3. Step 3: Cross multiply
    1,571.51x = 2,166.20 × 1,255.78
  4. Step 4: Simplify right side
    1,571.51x = 2,720,253.53
  5. Step 5: Solve for x
    x = 2,720,253.53/1,571.51
  6. Step 6: Final answer
    x = 1,730.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.