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Finding the Fourth Proportional to 3,075.85, 4,244.89 and 1,749.98

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Solution

The fourth proportional to 3,075.85, 4,244.89 and 1,749.98 is: 2,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.85 : 4,244.89 = 1,749.98 : x
  2. Step 2: Convert to fraction form
    3,075.85/4,244.89 = 1,749.98/x
  3. Step 3: Cross multiply
    3,075.85x = 4,244.89 × 1,749.98
  4. Step 4: Simplify right side
    3,075.85x = 7,428,455.75
  5. Step 5: Solve for x
    x = 7,428,455.75/3,075.85
  6. Step 6: Final answer
    x = 2,415.09

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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.