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Finding the Fourth Proportional to 3,008.64, 4,512.48 and 817.44

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Solution

The fourth proportional to 3,008.64, 4,512.48 and 817.44 is: 1,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.64 : 4,512.48 = 817.44 : x
  2. Step 2: Convert to fraction form
    3,008.64/4,512.48 = 817.44/x
  3. Step 3: Cross multiply
    3,008.64x = 4,512.48 × 817.44
  4. Step 4: Simplify right side
    3,008.64x = 3,688,681.65
  5. Step 5: Solve for x
    x = 3,688,681.65/3,008.64
  6. Step 6: Final answer
    x = 1,226.03

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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.