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Finding the Fourth Proportional to 1,571.55, 2,357.71 and 1,110.23

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Solution

The fourth proportional to 1,571.55, 2,357.71 and 1,110.23 is: 1,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.55 : 2,357.71 = 1,110.23 : x
  2. Step 2: Convert to fraction form
    1,571.55/2,357.71 = 1,110.23/x
  3. Step 3: Cross multiply
    1,571.55x = 2,357.71 × 1,110.23
  4. Step 4: Simplify right side
    1,571.55x = 2,617,583.03
  5. Step 5: Solve for x
    x = 2,617,583.03/1,571.55
  6. Step 6: Final answer
    x = 1,665.61

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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.