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Finding the Fourth Proportional to 3,075.97, 4,617.03 and 1,618.20

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Solution

The fourth proportional to 3,075.97, 4,617.03 and 1,618.20 is: 2,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.97 : 4,617.03 = 1,618.20 : x
  2. Step 2: Convert to fraction form
    3,075.97/4,617.03 = 1,618.20/x
  3. Step 3: Cross multiply
    3,075.97x = 4,617.03 × 1,618.20
  4. Step 4: Simplify right side
    3,075.97x = 7,471,254.86
  5. Step 5: Solve for x
    x = 7,471,254.86/3,075.97
  6. Step 6: Final answer
    x = 2,428.91

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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.