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Finding the Fourth Proportional to 1,546.56, 2,304.96 and 1,533.67

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Solution

The fourth proportional to 1,546.56, 2,304.96 and 1,533.67 is: 2,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.56 : 2,304.96 = 1,533.67 : x
  2. Step 2: Convert to fraction form
    1,546.56/2,304.96 = 1,533.67/x
  3. Step 3: Cross multiply
    1,546.56x = 2,304.96 × 1,533.67
  4. Step 4: Simplify right side
    1,546.56x = 3,535,036.49
  5. Step 5: Solve for x
    x = 3,535,036.49/1,546.56
  6. Step 6: Final answer
    x = 2,285.74

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Why These Related Problems?

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