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Finding the Fourth Proportional to 1,698.91, 2,346.08 and 1,606.86

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Solution

The fourth proportional to 1,698.91, 2,346.08 and 1,606.86 is: 2,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.91 : 2,346.08 = 1,606.86 : x
  2. Step 2: Convert to fraction form
    1,698.91/2,346.08 = 1,606.86/x
  3. Step 3: Cross multiply
    1,698.91x = 2,346.08 × 1,606.86
  4. Step 4: Simplify right side
    1,698.91x = 3,769,814.07
  5. Step 5: Solve for x
    x = 3,769,814.07/1,698.91
  6. Step 6: Final answer
    x = 2,218.96

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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.