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Finding the Fourth Proportional to 2,109.04, 3,162.93 and 810.34

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Solution

The fourth proportional to 2,109.04, 3,162.93 and 810.34 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.04 : 3,162.93 = 810.34 : x
  2. Step 2: Convert to fraction form
    2,109.04/3,162.93 = 810.34/x
  3. Step 3: Cross multiply
    2,109.04x = 3,162.93 × 810.34
  4. Step 4: Simplify right side
    2,109.04x = 2,563,048.70
  5. Step 5: Solve for x
    x = 2,563,048.70/2,109.04
  6. Step 6: Final answer
    x = 1,215.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.