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Finding the Fourth Proportional to 2,477.56, 3,716.03 and 1,438.13

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Solution

The fourth proportional to 2,477.56, 3,716.03 and 1,438.13 is: 2,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.56 : 3,716.03 = 1,438.13 : x
  2. Step 2: Convert to fraction form
    2,477.56/3,716.03 = 1,438.13/x
  3. Step 3: Cross multiply
    2,477.56x = 3,716.03 × 1,438.13
  4. Step 4: Simplify right side
    2,477.56x = 5,344,134.22
  5. Step 5: Solve for x
    x = 5,344,134.22/2,477.56
  6. Step 6: Final answer
    x = 2,157.02

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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.