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Finding the Fourth Proportional to 3,008.59, 4,512.32 and 817.49

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Solution

The fourth proportional to 3,008.59, 4,512.32 and 817.49 is: 1,226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.59 : 4,512.32 = 817.49 : x
  2. Step 2: Convert to fraction form
    3,008.59/4,512.32 = 817.49/x
  3. Step 3: Cross multiply
    3,008.59x = 4,512.32 × 817.49
  4. Step 4: Simplify right side
    3,008.59x = 3,688,776.48
  5. Step 5: Solve for x
    x = 3,688,776.48/3,008.59
  6. Step 6: Final answer
    x = 1,226.08

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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.