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Finding the Fourth Proportional to 1,698.10, 2,344.04 and 1,651.29

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Solution

The fourth proportional to 1,698.10, 2,344.04 and 1,651.29 is: 2,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.10 : 2,344.04 = 1,651.29 : x
  2. Step 2: Convert to fraction form
    1,698.10/2,344.04 = 1,651.29/x
  3. Step 3: Cross multiply
    1,698.10x = 2,344.04 × 1,651.29
  4. Step 4: Simplify right side
    1,698.10x = 3,870,678.96
  5. Step 5: Solve for x
    x = 3,870,678.96/1,698.10
  6. Step 6: Final answer
    x = 2,279.42

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