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Finding the Fourth Proportional to 1,808.19, 2,712.74 and 834.98

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Solution

The fourth proportional to 1,808.19, 2,712.74 and 834.98 is: 1,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.19 : 2,712.74 = 834.98 : x
  2. Step 2: Convert to fraction form
    1,808.19/2,712.74 = 834.98/x
  3. Step 3: Cross multiply
    1,808.19x = 2,712.74 × 834.98
  4. Step 4: Simplify right side
    1,808.19x = 2,265,083.65
  5. Step 5: Solve for x
    x = 2,265,083.65/1,808.19
  6. Step 6: Final answer
    x = 1,252.68

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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.