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Finding the Fourth Proportional to 2,684.84, 3,705 and 1,505.96

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Solution

The fourth proportional to 2,684.84, 3,705 and 1,505.96 is: 2,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.84 : 3,705 = 1,505.96 : x
  2. Step 2: Convert to fraction form
    2,684.84/3,705 = 1,505.96/x
  3. Step 3: Cross multiply
    2,684.84x = 3,705 × 1,505.96
  4. Step 4: Simplify right side
    2,684.84x = 5,579,581.80
  5. Step 5: Solve for x
    x = 5,579,581.80/2,684.84
  6. Step 6: Final answer
    x = 2,078.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.