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Finding the Fourth Proportional to 2,048.56, 2,825.46 and 1,348.72

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Solution

The fourth proportional to 2,048.56, 2,825.46 and 1,348.72 is: 1,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.56 : 2,825.46 = 1,348.72 : x
  2. Step 2: Convert to fraction form
    2,048.56/2,825.46 = 1,348.72/x
  3. Step 3: Cross multiply
    2,048.56x = 2,825.46 × 1,348.72
  4. Step 4: Simplify right side
    2,048.56x = 3,810,754.41
  5. Step 5: Solve for x
    x = 3,810,754.41/2,048.56
  6. Step 6: Final answer
    x = 1,860.21

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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.