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Finding the Fourth Proportional to 3,075.86, 4,610.62 and 1,224.46

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Solution

The fourth proportional to 3,075.86, 4,610.62 and 1,224.46 is: 1,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.86 : 4,610.62 = 1,224.46 : x
  2. Step 2: Convert to fraction form
    3,075.86/4,610.62 = 1,224.46/x
  3. Step 3: Cross multiply
    3,075.86x = 4,610.62 × 1,224.46
  4. Step 4: Simplify right side
    3,075.86x = 5,645,519.77
  5. Step 5: Solve for x
    x = 5,645,519.77/3,075.86
  6. Step 6: Final answer
    x = 1,835.43

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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.