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Finding the Fourth Proportional to 2,504.89, 3,774.24 and 2,075.69

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Solution

The fourth proportional to 2,504.89, 3,774.24 and 2,075.69 is: 3,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.89 : 3,774.24 = 2,075.69 : x
  2. Step 2: Convert to fraction form
    2,504.89/3,774.24 = 2,075.69/x
  3. Step 3: Cross multiply
    2,504.89x = 3,774.24 × 2,075.69
  4. Step 4: Simplify right side
    2,504.89x = 7,834,122.98
  5. Step 5: Solve for x
    x = 7,834,122.98/2,504.89
  6. Step 6: Final answer
    x = 3,127.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.