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Finding the Fourth Proportional to 2,075.55, 3,111.03 and 842.60

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Solution

The fourth proportional to 2,075.55, 3,111.03 and 842.60 is: 1,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.55 : 3,111.03 = 842.60 : x
  2. Step 2: Convert to fraction form
    2,075.55/3,111.03 = 842.60/x
  3. Step 3: Cross multiply
    2,075.55x = 3,111.03 × 842.60
  4. Step 4: Simplify right side
    2,075.55x = 2,621,338.32
  5. Step 5: Solve for x
    x = 2,621,338.32/2,075.55
  6. Step 6: Final answer
    x = 1,262.96

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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.