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Finding the Fourth Proportional to 1,857.26, 2,783.77 and 933.46

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Solution

The fourth proportional to 1,857.26, 2,783.77 and 933.46 is: 1,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.26 : 2,783.77 = 933.46 : x
  2. Step 2: Convert to fraction form
    1,857.26/2,783.77 = 933.46/x
  3. Step 3: Cross multiply
    1,857.26x = 2,783.77 × 933.46
  4. Step 4: Simplify right side
    1,857.26x = 2,598,528.65
  5. Step 5: Solve for x
    x = 2,598,528.65/1,857.26
  6. Step 6: Final answer
    x = 1,399.12

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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.