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Finding the Fourth Proportional to 2,703.89, 3,732.96 and 1,774.01

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Solution

The fourth proportional to 2,703.89, 3,732.96 and 1,774.01 is: 2,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.89 : 3,732.96 = 1,774.01 : x
  2. Step 2: Convert to fraction form
    2,703.89/3,732.96 = 1,774.01/x
  3. Step 3: Cross multiply
    2,703.89x = 3,732.96 × 1,774.01
  4. Step 4: Simplify right side
    2,703.89x = 6,622,308.37
  5. Step 5: Solve for x
    x = 6,622,308.37/2,703.89
  6. Step 6: Final answer
    x = 2,449.18

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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.