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Finding the Fourth Proportional to 1,684.80, 2,527.14 and 452.26

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Solution

The fourth proportional to 1,684.80, 2,527.14 and 452.26 is: 678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.80 : 2,527.14 = 452.26 : x
  2. Step 2: Convert to fraction form
    1,684.80/2,527.14 = 452.26/x
  3. Step 3: Cross multiply
    1,684.80x = 2,527.14 × 452.26
  4. Step 4: Simplify right side
    1,684.80x = 1,142,924.34
  5. Step 5: Solve for x
    x = 1,142,924.34/1,684.80
  6. Step 6: Final answer
    x = 678.37

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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.