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Finding the Fourth Proportional to 2,686.69, 3,707.68 and 1,624.31

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Solution

The fourth proportional to 2,686.69, 3,707.68 and 1,624.31 is: 2,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.69 : 3,707.68 = 1,624.31 : x
  2. Step 2: Convert to fraction form
    2,686.69/3,707.68 = 1,624.31/x
  3. Step 3: Cross multiply
    2,686.69x = 3,707.68 × 1,624.31
  4. Step 4: Simplify right side
    2,686.69x = 6,022,421.70
  5. Step 5: Solve for x
    x = 6,022,421.70/2,686.69
  6. Step 6: Final answer
    x = 2,241.58

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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.