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Finding the Fourth Proportional to 2,716.30, 4,075.07 and 984.92

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Solution

The fourth proportional to 2,716.30, 4,075.07 and 984.92 is: 1,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.30 : 4,075.07 = 984.92 : x
  2. Step 2: Convert to fraction form
    2,716.30/4,075.07 = 984.92/x
  3. Step 3: Cross multiply
    2,716.30x = 4,075.07 × 984.92
  4. Step 4: Simplify right side
    2,716.30x = 4,013,613.02
  5. Step 5: Solve for x
    x = 4,013,613.02/2,716.30
  6. Step 6: Final answer
    x = 1,477.61

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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.