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Finding the Fourth Proportional to 3,075, 4,609.74 and 1,126.80

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Solution

The fourth proportional to 3,075, 4,609.74 and 1,126.80 is: 1,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075 : 4,609.74 = 1,126.80 : x
  2. Step 2: Convert to fraction form
    3,075/4,609.74 = 1,126.80/x
  3. Step 3: Cross multiply
    3,075x = 4,609.74 × 1,126.80
  4. Step 4: Simplify right side
    3,075x = 5,194,255.03
  5. Step 5: Solve for x
    x = 5,194,255.03/3,075
  6. Step 6: Final answer
    x = 1,689.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.