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Finding the Fourth Proportional to 1,533.84, 2,286.48 and 1,516.56

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Solution

The fourth proportional to 1,533.84, 2,286.48 and 1,516.56 is: 2,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.84 : 2,286.48 = 1,516.56 : x
  2. Step 2: Convert to fraction form
    1,533.84/2,286.48 = 1,516.56/x
  3. Step 3: Cross multiply
    1,533.84x = 2,286.48 × 1,516.56
  4. Step 4: Simplify right side
    1,533.84x = 3,467,584.11
  5. Step 5: Solve for x
    x = 3,467,584.11/1,533.84
  6. Step 6: Final answer
    x = 2,260.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.