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Finding the Fourth Proportional to 2,703.84, 3,731.31 and 1,525.14

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Solution

The fourth proportional to 2,703.84, 3,731.31 and 1,525.14 is: 2,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.84 : 3,731.31 = 1,525.14 : x
  2. Step 2: Convert to fraction form
    2,703.84/3,731.31 = 1,525.14/x
  3. Step 3: Cross multiply
    2,703.84x = 3,731.31 × 1,525.14
  4. Step 4: Simplify right side
    2,703.84x = 5,690,770.13
  5. Step 5: Solve for x
    x = 5,690,770.13/2,703.84
  6. Step 6: Final answer
    x = 2,104.70

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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.