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Finding the Fourth Proportional to 2,967.42, 4,453.88 and 1,507.62

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Solution

The fourth proportional to 2,967.42, 4,453.88 and 1,507.62 is: 2,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.42 : 4,453.88 = 1,507.62 : x
  2. Step 2: Convert to fraction form
    2,967.42/4,453.88 = 1,507.62/x
  3. Step 3: Cross multiply
    2,967.42x = 4,453.88 × 1,507.62
  4. Step 4: Simplify right side
    2,967.42x = 6,714,751.03
  5. Step 5: Solve for x
    x = 6,714,751.03/2,967.42
  6. Step 6: Final answer
    x = 2,262.82

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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.