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Finding the Fourth Proportional to 2,048.70, 3,075.30 and 1,074.54

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Solution

The fourth proportional to 2,048.70, 3,075.30 and 1,074.54 is: 1,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.70 : 3,075.30 = 1,074.54 : x
  2. Step 2: Convert to fraction form
    2,048.70/3,075.30 = 1,074.54/x
  3. Step 3: Cross multiply
    2,048.70x = 3,075.30 × 1,074.54
  4. Step 4: Simplify right side
    2,048.70x = 3,304,532.86
  5. Step 5: Solve for x
    x = 3,304,532.86/2,048.70
  6. Step 6: Final answer
    x = 1,612.99

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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.