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Finding the Fourth Proportional to 2,763.20, 3,813.20 and 1,504.24

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Solution

The fourth proportional to 2,763.20, 3,813.20 and 1,504.24 is: 2,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.20 : 3,813.20 = 1,504.24 : x
  2. Step 2: Convert to fraction form
    2,763.20/3,813.20 = 1,504.24/x
  3. Step 3: Cross multiply
    2,763.20x = 3,813.20 × 1,504.24
  4. Step 4: Simplify right side
    2,763.20x = 5,735,967.97
  5. Step 5: Solve for x
    x = 5,735,967.97/2,763.20
  6. Step 6: Final answer
    x = 2,075.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.