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Finding the Fourth Proportional to 1,674.81, 2,512.33 and 564.17

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Solution

The fourth proportional to 1,674.81, 2,512.33 and 564.17 is: 846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.81 : 2,512.33 = 564.17 : x
  2. Step 2: Convert to fraction form
    1,674.81/2,512.33 = 564.17/x
  3. Step 3: Cross multiply
    1,674.81x = 2,512.33 × 564.17
  4. Step 4: Simplify right side
    1,674.81x = 1,417,367.24
  5. Step 5: Solve for x
    x = 1,417,367.24/1,674.81
  6. Step 6: Final answer
    x = 846.29

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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.