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Finding the Fourth Proportional to 2,763, 3,816.18 and 1,829.88

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Solution

The fourth proportional to 2,763, 3,816.18 and 1,829.88 is: 2,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763 : 3,816.18 = 1,829.88 : x
  2. Step 2: Convert to fraction form
    2,763/3,816.18 = 1,829.88/x
  3. Step 3: Cross multiply
    2,763x = 3,816.18 × 1,829.88
  4. Step 4: Simplify right side
    2,763x = 6,983,151.46
  5. Step 5: Solve for x
    x = 6,983,151.46/2,763
  6. Step 6: Final answer
    x = 2,527.38

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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.