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Finding the Fourth Proportional to 2,738.56, 3,779.22 and 1,690.36

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Solution

The fourth proportional to 2,738.56, 3,779.22 and 1,690.36 is: 2,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.56 : 3,779.22 = 1,690.36 : x
  2. Step 2: Convert to fraction form
    2,738.56/3,779.22 = 1,690.36/x
  3. Step 3: Cross multiply
    2,738.56x = 3,779.22 × 1,690.36
  4. Step 4: Simplify right side
    2,738.56x = 6,388,242.32
  5. Step 5: Solve for x
    x = 6,388,242.32/2,738.56
  6. Step 6: Final answer
    x = 2,332.70

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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.