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Finding the Fourth Proportional to 2,355.56, 3,534.06 and 1,379.60

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Solution

The fourth proportional to 2,355.56, 3,534.06 and 1,379.60 is: 2,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.56 : 3,534.06 = 1,379.60 : x
  2. Step 2: Convert to fraction form
    2,355.56/3,534.06 = 1,379.60/x
  3. Step 3: Cross multiply
    2,355.56x = 3,534.06 × 1,379.60
  4. Step 4: Simplify right side
    2,355.56x = 4,875,589.18
  5. Step 5: Solve for x
    x = 4,875,589.18/2,355.56
  6. Step 6: Final answer
    x = 2,069.82

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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.