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Finding the Fourth Proportional to 1,584.45, 2,375.45 and 968.44

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Solution

The fourth proportional to 1,584.45, 2,375.45 and 968.44 is: 1,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.45 : 2,375.45 = 968.44 : x
  2. Step 2: Convert to fraction form
    1,584.45/2,375.45 = 968.44/x
  3. Step 3: Cross multiply
    1,584.45x = 2,375.45 × 968.44
  4. Step 4: Simplify right side
    1,584.45x = 2,300,483.22
  5. Step 5: Solve for x
    x = 2,300,483.22/1,584.45
  6. Step 6: Final answer
    x = 1,451.92

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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.