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Finding the Fourth Proportional to 2,051.67, 3,075.30 and 1,012.41

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Solution

The fourth proportional to 2,051.67, 3,075.30 and 1,012.41 is: 1,517.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.67 : 3,075.30 = 1,012.41 : x
  2. Step 2: Convert to fraction form
    2,051.67/3,075.30 = 1,012.41/x
  3. Step 3: Cross multiply
    2,051.67x = 3,075.30 × 1,012.41
  4. Step 4: Simplify right side
    2,051.67x = 3,113,464.47
  5. Step 5: Solve for x
    x = 3,113,464.47/2,051.67
  6. Step 6: Final answer
    x = 1,517.53

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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.