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Finding the Fourth Proportional to 2,075.52, 3,111.60 and 842.64

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Solution

The fourth proportional to 2,075.52, 3,111.60 and 842.64 is: 1,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.52 : 3,111.60 = 842.64 : x
  2. Step 2: Convert to fraction form
    2,075.52/3,111.60 = 842.64/x
  3. Step 3: Cross multiply
    2,075.52x = 3,111.60 × 842.64
  4. Step 4: Simplify right side
    2,075.52x = 2,621,958.62
  5. Step 5: Solve for x
    x = 2,621,958.62/2,075.52
  6. Step 6: Final answer
    x = 1,263.28

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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.