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Finding the Fourth Proportional to 2,860.67, 3,947.19 and 1,681.31

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Solution

The fourth proportional to 2,860.67, 3,947.19 and 1,681.31 is: 2,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.67 : 3,947.19 = 1,681.31 : x
  2. Step 2: Convert to fraction form
    2,860.67/3,947.19 = 1,681.31/x
  3. Step 3: Cross multiply
    2,860.67x = 3,947.19 × 1,681.31
  4. Step 4: Simplify right side
    2,860.67x = 6,636,450.02
  5. Step 5: Solve for x
    x = 6,636,450.02/2,860.67
  6. Step 6: Final answer
    x = 2,319.89

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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.