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Finding the Fourth Proportional to 2,774.74, 3,829.75 and 1,766.23

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Solution

The fourth proportional to 2,774.74, 3,829.75 and 1,766.23 is: 2,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.74 : 3,829.75 = 1,766.23 : x
  2. Step 2: Convert to fraction form
    2,774.74/3,829.75 = 1,766.23/x
  3. Step 3: Cross multiply
    2,774.74x = 3,829.75 × 1,766.23
  4. Step 4: Simplify right side
    2,774.74x = 6,764,219.34
  5. Step 5: Solve for x
    x = 6,764,219.34/2,774.74
  6. Step 6: Final answer
    x = 2,437.78

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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.