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Finding the Fourth Proportional to 2,049.48, 3,075.30 and 896.04

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Solution

The fourth proportional to 2,049.48, 3,075.30 and 896.04 is: 1,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.48 : 3,075.30 = 896.04 : x
  2. Step 2: Convert to fraction form
    2,049.48/3,075.30 = 896.04/x
  3. Step 3: Cross multiply
    2,049.48x = 3,075.30 × 896.04
  4. Step 4: Simplify right side
    2,049.48x = 2,755,591.81
  5. Step 5: Solve for x
    x = 2,755,591.81/2,049.48
  6. Step 6: Final answer
    x = 1,344.53

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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.