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Finding the Fourth Proportional to 2,705.26, 3,734.46 and 1,810.48

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Solution

The fourth proportional to 2,705.26, 3,734.46 and 1,810.48 is: 2,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.26 : 3,734.46 = 1,810.48 : x
  2. Step 2: Convert to fraction form
    2,705.26/3,734.46 = 1,810.48/x
  3. Step 3: Cross multiply
    2,705.26x = 3,734.46 × 1,810.48
  4. Step 4: Simplify right side
    2,705.26x = 6,761,165.14
  5. Step 5: Solve for x
    x = 6,761,165.14/2,705.26
  6. Step 6: Final answer
    x = 2,499.27

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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.