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Finding the Fourth Proportional to 2,405.65, 3,319.02 and 1,343.25

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Solution

The fourth proportional to 2,405.65, 3,319.02 and 1,343.25 is: 1,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.65 : 3,319.02 = 1,343.25 : x
  2. Step 2: Convert to fraction form
    2,405.65/3,319.02 = 1,343.25/x
  3. Step 3: Cross multiply
    2,405.65x = 3,319.02 × 1,343.25
  4. Step 4: Simplify right side
    2,405.65x = 4,458,273.62
  5. Step 5: Solve for x
    x = 4,458,273.62/2,405.65
  6. Step 6: Final answer
    x = 1,853.25

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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.