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Finding the Fourth Proportional to 2,075.44, 3,114.06 and 688.96

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Solution

The fourth proportional to 2,075.44, 3,114.06 and 688.96 is: 1,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.44 : 3,114.06 = 688.96 : x
  2. Step 2: Convert to fraction form
    2,075.44/3,114.06 = 688.96/x
  3. Step 3: Cross multiply
    2,075.44x = 3,114.06 × 688.96
  4. Step 4: Simplify right side
    2,075.44x = 2,145,462.78
  5. Step 5: Solve for x
    x = 2,145,462.78/2,075.44
  6. Step 6: Final answer
    x = 1,033.74

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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.