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Finding the Fourth Proportional to 2,034.15, 2,805.36 and 1,325.72

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Solution

The fourth proportional to 2,034.15, 2,805.36 and 1,325.72 is: 1,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.15 : 2,805.36 = 1,325.72 : x
  2. Step 2: Convert to fraction form
    2,034.15/2,805.36 = 1,325.72/x
  3. Step 3: Cross multiply
    2,034.15x = 2,805.36 × 1,325.72
  4. Step 4: Simplify right side
    2,034.15x = 3,719,121.86
  5. Step 5: Solve for x
    x = 3,719,121.86/2,034.15
  6. Step 6: Final answer
    x = 1,828.34

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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.