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Finding the Fourth Proportional to 2,739.52, 3,779.58 and 1,900

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Solution

The fourth proportional to 2,739.52, 3,779.58 and 1,900 is: 2,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.52 : 3,779.58 = 1,900 : x
  2. Step 2: Convert to fraction form
    2,739.52/3,779.58 = 1,900/x
  3. Step 3: Cross multiply
    2,739.52x = 3,779.58 × 1,900
  4. Step 4: Simplify right side
    2,739.52x = 7,181,202
  5. Step 5: Solve for x
    x = 7,181,202/2,739.52
  6. Step 6: Final answer
    x = 2,621.34

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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.