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Finding the Fourth Proportional to 1,571.88, 2,344.56 and 1,364.82

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Solution

The fourth proportional to 1,571.88, 2,344.56 and 1,364.82 is: 2,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.88 : 2,344.56 = 1,364.82 : x
  2. Step 2: Convert to fraction form
    1,571.88/2,344.56 = 1,364.82/x
  3. Step 3: Cross multiply
    1,571.88x = 2,344.56 × 1,364.82
  4. Step 4: Simplify right side
    1,571.88x = 3,199,902.38
  5. Step 5: Solve for x
    x = 3,199,902.38/1,571.88
  6. Step 6: Final answer
    x = 2,035.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.