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Finding the Fourth Proportional to 2,457.70, 3,391.66 and 1,338.64

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Solution

The fourth proportional to 2,457.70, 3,391.66 and 1,338.64 is: 1,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.70 : 3,391.66 = 1,338.64 : x
  2. Step 2: Convert to fraction form
    2,457.70/3,391.66 = 1,338.64/x
  3. Step 3: Cross multiply
    2,457.70x = 3,391.66 × 1,338.64
  4. Step 4: Simplify right side
    2,457.70x = 4,540,211.74
  5. Step 5: Solve for x
    x = 4,540,211.74/2,457.70
  6. Step 6: Final answer
    x = 1,847.34

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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.