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Finding the Fourth Proportional to 2,958.53, 4,431.75 and 1,844.30

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Solution

The fourth proportional to 2,958.53, 4,431.75 and 1,844.30 is: 2,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.53 : 4,431.75 = 1,844.30 : x
  2. Step 2: Convert to fraction form
    2,958.53/4,431.75 = 1,844.30/x
  3. Step 3: Cross multiply
    2,958.53x = 4,431.75 × 1,844.30
  4. Step 4: Simplify right side
    2,958.53x = 8,173,454.37
  5. Step 5: Solve for x
    x = 8,173,454.37/2,958.53
  6. Step 6: Final answer
    x = 2,762.68

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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.