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Finding the Fourth Proportional to 2,475.98, 3,419.48 and 1,682.84

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Solution

The fourth proportional to 2,475.98, 3,419.48 and 1,682.84 is: 2,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.98 : 3,419.48 = 1,682.84 : x
  2. Step 2: Convert to fraction form
    2,475.98/3,419.48 = 1,682.84/x
  3. Step 3: Cross multiply
    2,475.98x = 3,419.48 × 1,682.84
  4. Step 4: Simplify right side
    2,475.98x = 5,754,437.72
  5. Step 5: Solve for x
    x = 5,754,437.72/2,475.98
  6. Step 6: Final answer
    x = 2,324.11

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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.