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Finding the Fourth Proportional to 1,289.65, 1,935.64 and 872.17

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Solution

The fourth proportional to 1,289.65, 1,935.64 and 872.17 is: 1,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.65 : 1,935.64 = 872.17 : x
  2. Step 2: Convert to fraction form
    1,289.65/1,935.64 = 872.17/x
  3. Step 3: Cross multiply
    1,289.65x = 1,935.64 × 872.17
  4. Step 4: Simplify right side
    1,289.65x = 1,688,200.30
  5. Step 5: Solve for x
    x = 1,688,200.30/1,289.65
  6. Step 6: Final answer
    x = 1,309.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.