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Finding the Fourth Proportional to 2,346.06, 3,519.54 and 1,047.54

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Solution

The fourth proportional to 2,346.06, 3,519.54 and 1,047.54 is: 1,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.06 : 3,519.54 = 1,047.54 : x
  2. Step 2: Convert to fraction form
    2,346.06/3,519.54 = 1,047.54/x
  3. Step 3: Cross multiply
    2,346.06x = 3,519.54 × 1,047.54
  4. Step 4: Simplify right side
    2,346.06x = 3,686,858.93
  5. Step 5: Solve for x
    x = 3,686,858.93/2,346.06
  6. Step 6: Final answer
    x = 1,571.51

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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.