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Finding the Fourth Proportional to 1,814.88, 2,706.06 and 1,782.12

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Solution

The fourth proportional to 1,814.88, 2,706.06 and 1,782.12 is: 2,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.88 : 2,706.06 = 1,782.12 : x
  2. Step 2: Convert to fraction form
    1,814.88/2,706.06 = 1,782.12/x
  3. Step 3: Cross multiply
    1,814.88x = 2,706.06 × 1,782.12
  4. Step 4: Simplify right side
    1,814.88x = 4,822,523.65
  5. Step 5: Solve for x
    x = 4,822,523.65/1,814.88
  6. Step 6: Final answer
    x = 2,657.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.