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Finding the Fourth Proportional to 2,686.31, 3,706.98 and 1,624.33

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Solution

The fourth proportional to 2,686.31, 3,706.98 and 1,624.33 is: 2,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.31 : 3,706.98 = 1,624.33 : x
  2. Step 2: Convert to fraction form
    2,686.31/3,706.98 = 1,624.33/x
  3. Step 3: Cross multiply
    2,686.31x = 3,706.98 × 1,624.33
  4. Step 4: Simplify right side
    2,686.31x = 6,021,340.29
  5. Step 5: Solve for x
    x = 6,021,340.29/2,686.31
  6. Step 6: Final answer
    x = 2,241.50

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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.