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Finding the Fourth Proportional to 2,438.56, 3,660 and 1,269.39

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Solution

The fourth proportional to 2,438.56, 3,660 and 1,269.39 is: 1,905.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.56 : 3,660 = 1,269.39 : x
  2. Step 2: Convert to fraction form
    2,438.56/3,660 = 1,269.39/x
  3. Step 3: Cross multiply
    2,438.56x = 3,660 × 1,269.39
  4. Step 4: Simplify right side
    2,438.56x = 4,645,967.40
  5. Step 5: Solve for x
    x = 4,645,967.40/2,438.56
  6. Step 6: Final answer
    x = 1,905.21

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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.