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Finding the Fourth Proportional to 2,346.14, 3,235.03 and 1,600.54

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Solution

The fourth proportional to 2,346.14, 3,235.03 and 1,600.54 is: 2,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.14 : 3,235.03 = 1,600.54 : x
  2. Step 2: Convert to fraction form
    2,346.14/3,235.03 = 1,600.54/x
  3. Step 3: Cross multiply
    2,346.14x = 3,235.03 × 1,600.54
  4. Step 4: Simplify right side
    2,346.14x = 5,177,782.83
  5. Step 5: Solve for x
    x = 5,177,782.83/2,346.14
  6. Step 6: Final answer
    x = 2,206.93

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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.