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Finding the Fourth Proportional to 1,674.64, 2,512.56 and 809.56

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Solution

The fourth proportional to 1,674.64, 2,512.56 and 809.56 is: 1,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.64 : 2,512.56 = 809.56 : x
  2. Step 2: Convert to fraction form
    1,674.64/2,512.56 = 809.56/x
  3. Step 3: Cross multiply
    1,674.64x = 2,512.56 × 809.56
  4. Step 4: Simplify right side
    1,674.64x = 2,034,068.07
  5. Step 5: Solve for x
    x = 2,034,068.07/1,674.64
  6. Step 6: Final answer
    x = 1,214.63

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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.