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Finding the Fourth Proportional to 1,711.65, 2,362.04 and 965.61

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Solution

The fourth proportional to 1,711.65, 2,362.04 and 965.61 is: 1,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.65 : 2,362.04 = 965.61 : x
  2. Step 2: Convert to fraction form
    1,711.65/2,362.04 = 965.61/x
  3. Step 3: Cross multiply
    1,711.65x = 2,362.04 × 965.61
  4. Step 4: Simplify right side
    1,711.65x = 2,280,800.05
  5. Step 5: Solve for x
    x = 2,280,800.05/1,711.65
  6. Step 6: Final answer
    x = 1,332.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.