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Finding the Fourth Proportional to 3,075.88, 4,615.17 and 1,614.69

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Solution

The fourth proportional to 3,075.88, 4,615.17 and 1,614.69 is: 2,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.88 : 4,615.17 = 1,614.69 : x
  2. Step 2: Convert to fraction form
    3,075.88/4,615.17 = 1,614.69/x
  3. Step 3: Cross multiply
    3,075.88x = 4,615.17 × 1,614.69
  4. Step 4: Simplify right side
    3,075.88x = 7,452,049.24
  5. Step 5: Solve for x
    x = 7,452,049.24/3,075.88
  6. Step 6: Final answer
    x = 2,422.74

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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.