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Finding the Fourth Proportional to 1,682.82, 2,509.20 and 1,575.90

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Solution

The fourth proportional to 1,682.82, 2,509.20 and 1,575.90 is: 2,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.82 : 2,509.20 = 1,575.90 : x
  2. Step 2: Convert to fraction form
    1,682.82/2,509.20 = 1,575.90/x
  3. Step 3: Cross multiply
    1,682.82x = 2,509.20 × 1,575.90
  4. Step 4: Simplify right side
    1,682.82x = 3,954,248.28
  5. Step 5: Solve for x
    x = 3,954,248.28/1,682.82
  6. Step 6: Final answer
    x = 2,349.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.