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Finding the Fourth Proportional to 1,684, 2,522.70 and 859.84

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Solution

The fourth proportional to 1,684, 2,522.70 and 859.84 is: 1,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,522.70 = 859.84 : x
  2. Step 2: Convert to fraction form
    1,684/2,522.70 = 859.84/x
  3. Step 3: Cross multiply
    1,684x = 2,522.70 × 859.84
  4. Step 4: Simplify right side
    1,684x = 2,169,118.37
  5. Step 5: Solve for x
    x = 2,169,118.37/1,684
  6. Step 6: Final answer
    x = 1,288.08

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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.