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Finding the Fourth Proportional to 2,354.21, 3,530.35 and 967.49

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Solution

The fourth proportional to 2,354.21, 3,530.35 and 967.49 is: 1,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.21 : 3,530.35 = 967.49 : x
  2. Step 2: Convert to fraction form
    2,354.21/3,530.35 = 967.49/x
  3. Step 3: Cross multiply
    2,354.21x = 3,530.35 × 967.49
  4. Step 4: Simplify right side
    2,354.21x = 3,415,578.32
  5. Step 5: Solve for x
    x = 3,415,578.32/2,354.21
  6. Step 6: Final answer
    x = 1,450.84

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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.