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Finding the Fourth Proportional to 2,048.53, 2,826.62 and 1,152.03

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Solution

The fourth proportional to 2,048.53, 2,826.62 and 1,152.03 is: 1,589.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.53 : 2,826.62 = 1,152.03 : x
  2. Step 2: Convert to fraction form
    2,048.53/2,826.62 = 1,152.03/x
  3. Step 3: Cross multiply
    2,048.53x = 2,826.62 × 1,152.03
  4. Step 4: Simplify right side
    2,048.53x = 3,256,360.20
  5. Step 5: Solve for x
    x = 3,256,360.20/2,048.53
  6. Step 6: Final answer
    x = 1,589.61

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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.