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Finding the Fourth Proportional to 2,782.22, 4,173.80 and 933.51

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Solution

The fourth proportional to 2,782.22, 4,173.80 and 933.51 is: 1,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.22 : 4,173.80 = 933.51 : x
  2. Step 2: Convert to fraction form
    2,782.22/4,173.80 = 933.51/x
  3. Step 3: Cross multiply
    2,782.22x = 4,173.80 × 933.51
  4. Step 4: Simplify right side
    2,782.22x = 3,896,279.37
  5. Step 5: Solve for x
    x = 3,896,279.37/2,782.22
  6. Step 6: Final answer
    x = 1,400.42

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