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Finding the Fourth Proportional to 2,364.30, 3,546.54 and 977.85

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Solution

The fourth proportional to 2,364.30, 3,546.54 and 977.85 is: 1,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.30 : 3,546.54 = 977.85 : x
  2. Step 2: Convert to fraction form
    2,364.30/3,546.54 = 977.85/x
  3. Step 3: Cross multiply
    2,364.30x = 3,546.54 × 977.85
  4. Step 4: Simplify right side
    2,364.30x = 3,467,984.14
  5. Step 5: Solve for x
    x = 3,467,984.14/2,364.30
  6. Step 6: Final answer
    x = 1,466.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.