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Finding the Fourth Proportional to 2,809.13, 3,876.89 and 1,567.13

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Solution

The fourth proportional to 2,809.13, 3,876.89 and 1,567.13 is: 2,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.13 : 3,876.89 = 1,567.13 : x
  2. Step 2: Convert to fraction form
    2,809.13/3,876.89 = 1,567.13/x
  3. Step 3: Cross multiply
    2,809.13x = 3,876.89 × 1,567.13
  4. Step 4: Simplify right side
    2,809.13x = 6,075,563.41
  5. Step 5: Solve for x
    x = 6,075,563.41/2,809.13
  6. Step 6: Final answer
    x = 2,162.80

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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.