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Finding the Fourth Proportional to 2,051.44, 3,075.24 and 1,126.24

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Solution

The fourth proportional to 2,051.44, 3,075.24 and 1,126.24 is: 1,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.44 : 3,075.24 = 1,126.24 : x
  2. Step 2: Convert to fraction form
    2,051.44/3,075.24 = 1,126.24/x
  3. Step 3: Cross multiply
    2,051.44x = 3,075.24 × 1,126.24
  4. Step 4: Simplify right side
    2,051.44x = 3,463,458.30
  5. Step 5: Solve for x
    x = 3,463,458.30/2,051.44
  6. Step 6: Final answer
    x = 1,688.31

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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.