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Finding the Fourth Proportional to 1,695.94, 2,338.26 and 1,298.09

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Solution

The fourth proportional to 1,695.94, 2,338.26 and 1,298.09 is: 1,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.94 : 2,338.26 = 1,298.09 : x
  2. Step 2: Convert to fraction form
    1,695.94/2,338.26 = 1,298.09/x
  3. Step 3: Cross multiply
    1,695.94x = 2,338.26 × 1,298.09
  4. Step 4: Simplify right side
    1,695.94x = 3,035,271.92
  5. Step 5: Solve for x
    x = 3,035,271.92/1,695.94
  6. Step 6: Final answer
    x = 1,789.73

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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.