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Finding the Fourth Proportional to 2,573.56, 3,552.36 and 1,565.26

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Solution

The fourth proportional to 2,573.56, 3,552.36 and 1,565.26 is: 2,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.56 : 3,552.36 = 1,565.26 : x
  2. Step 2: Convert to fraction form
    2,573.56/3,552.36 = 1,565.26/x
  3. Step 3: Cross multiply
    2,573.56x = 3,552.36 × 1,565.26
  4. Step 4: Simplify right side
    2,573.56x = 5,560,367.01
  5. Step 5: Solve for x
    x = 5,560,367.01/2,573.56
  6. Step 6: Final answer
    x = 2,160.57

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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.