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Finding the Fourth Proportional to 3,075.81, 4,615.07 and 1,614.63

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Solution

The fourth proportional to 3,075.81, 4,615.07 and 1,614.63 is: 2,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.81 : 4,615.07 = 1,614.63 : x
  2. Step 2: Convert to fraction form
    3,075.81/4,615.07 = 1,614.63/x
  3. Step 3: Cross multiply
    3,075.81x = 4,615.07 × 1,614.63
  4. Step 4: Simplify right side
    3,075.81x = 7,451,617.20
  5. Step 5: Solve for x
    x = 7,451,617.20/3,075.81
  6. Step 6: Final answer
    x = 2,422.65

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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.