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Finding the Fourth Proportional to 1,550.93, 2,140.27 and 842.78

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Solution

The fourth proportional to 1,550.93, 2,140.27 and 842.78 is: 1,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.93 : 2,140.27 = 842.78 : x
  2. Step 2: Convert to fraction form
    1,550.93/2,140.27 = 842.78/x
  3. Step 3: Cross multiply
    1,550.93x = 2,140.27 × 842.78
  4. Step 4: Simplify right side
    1,550.93x = 1,803,779.99
  5. Step 5: Solve for x
    x = 1,803,779.99/1,550.93
  6. Step 6: Final answer
    x = 1,163.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.