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Finding the Fourth Proportional to 2,277.12, 3,415.68 and 738.24

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Solution

The fourth proportional to 2,277.12, 3,415.68 and 738.24 is: 1,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.12 : 3,415.68 = 738.24 : x
  2. Step 2: Convert to fraction form
    2,277.12/3,415.68 = 738.24/x
  3. Step 3: Cross multiply
    2,277.12x = 3,415.68 × 738.24
  4. Step 4: Simplify right side
    2,277.12x = 2,521,591.60
  5. Step 5: Solve for x
    x = 2,521,591.60/2,277.12
  6. Step 6: Final answer
    x = 1,107.36

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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.