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Finding the Fourth Proportional to 3,075.78, 4,615.02 and 1,614.58

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Solution

The fourth proportional to 3,075.78, 4,615.02 and 1,614.58 is: 2,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.78 : 4,615.02 = 1,614.58 : x
  2. Step 2: Convert to fraction form
    3,075.78/4,615.02 = 1,614.58/x
  3. Step 3: Cross multiply
    3,075.78x = 4,615.02 × 1,614.58
  4. Step 4: Simplify right side
    3,075.78x = 7,451,318.99
  5. Step 5: Solve for x
    x = 7,451,318.99/3,075.78
  6. Step 6: Final answer
    x = 2,422.58

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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.