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Finding the Fourth Proportional to 2,782.65, 4,173.06 and 933.30

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Solution

The fourth proportional to 2,782.65, 4,173.06 and 933.30 is: 1,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.65 : 4,173.06 = 933.30 : x
  2. Step 2: Convert to fraction form
    2,782.65/4,173.06 = 933.30/x
  3. Step 3: Cross multiply
    2,782.65x = 4,173.06 × 933.30
  4. Step 4: Simplify right side
    2,782.65x = 3,894,716.90
  5. Step 5: Solve for x
    x = 3,894,716.90/2,782.65
  6. Step 6: Final answer
    x = 1,399.64

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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.