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Finding the Fourth Proportional to 2,533.59, 3,797.28 and 1,438.88

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Solution

The fourth proportional to 2,533.59, 3,797.28 and 1,438.88 is: 2,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.59 : 3,797.28 = 1,438.88 : x
  2. Step 2: Convert to fraction form
    2,533.59/3,797.28 = 1,438.88/x
  3. Step 3: Cross multiply
    2,533.59x = 3,797.28 × 1,438.88
  4. Step 4: Simplify right side
    2,533.59x = 5,463,811.26
  5. Step 5: Solve for x
    x = 5,463,811.26/2,533.59
  6. Step 6: Final answer
    x = 2,156.55

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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.