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Finding the Fourth Proportional to 2,689.00, 3,709.23 and 1,569.81

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Solution

The fourth proportional to 2,689.00, 3,709.23 and 1,569.81 is: 2,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.00 : 3,709.23 = 1,569.81 : x
  2. Step 2: Convert to fraction form
    2,689.00/3,709.23 = 1,569.81/x
  3. Step 3: Cross multiply
    2,689.00x = 3,709.23 × 1,569.81
  4. Step 4: Simplify right side
    2,689.00x = 5,822,794.37
  5. Step 5: Solve for x
    x = 5,822,794.37/2,689.00
  6. Step 6: Final answer
    x = 2,165.41

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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.