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Finding the Fourth Proportional to 2,366.68, 3,548.86 and 1,379.84

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Solution

The fourth proportional to 2,366.68, 3,548.86 and 1,379.84 is: 2,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.68 : 3,548.86 = 1,379.84 : x
  2. Step 2: Convert to fraction form
    2,366.68/3,548.86 = 1,379.84/x
  3. Step 3: Cross multiply
    2,366.68x = 3,548.86 × 1,379.84
  4. Step 4: Simplify right side
    2,366.68x = 4,896,858.98
  5. Step 5: Solve for x
    x = 4,896,858.98/2,366.68
  6. Step 6: Final answer
    x = 2,069.08

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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.