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Finding the Fourth Proportional to 1,346.09, 1,856.97 and 873.95

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Solution

The fourth proportional to 1,346.09, 1,856.97 and 873.95 is: 1,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.09 : 1,856.97 = 873.95 : x
  2. Step 2: Convert to fraction form
    1,346.09/1,856.97 = 873.95/x
  3. Step 3: Cross multiply
    1,346.09x = 1,856.97 × 873.95
  4. Step 4: Simplify right side
    1,346.09x = 1,622,889.65
  5. Step 5: Solve for x
    x = 1,622,889.65/1,346.09
  6. Step 6: Final answer
    x = 1,205.64

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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.