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Finding the Fourth Proportional to 2,365.21, 3,546.42 and 976.99

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Solution

The fourth proportional to 2,365.21, 3,546.42 and 976.99 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.21 : 3,546.42 = 976.99 : x
  2. Step 2: Convert to fraction form
    2,365.21/3,546.42 = 976.99/x
  3. Step 3: Cross multiply
    2,365.21x = 3,546.42 × 976.99
  4. Step 4: Simplify right side
    2,365.21x = 3,464,816.88
  5. Step 5: Solve for x
    x = 3,464,816.88/2,365.21
  6. Step 6: Final answer
    x = 1,464.91

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1.5x scale

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.