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Finding the Fourth Proportional to 1,678.41, 2,500.75 and 1,584.09

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Solution

The fourth proportional to 1,678.41, 2,500.75 and 1,584.09 is: 2,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.41 : 2,500.75 = 1,584.09 : x
  2. Step 2: Convert to fraction form
    1,678.41/2,500.75 = 1,584.09/x
  3. Step 3: Cross multiply
    1,678.41x = 2,500.75 × 1,584.09
  4. Step 4: Simplify right side
    1,678.41x = 3,961,418.49
  5. Step 5: Solve for x
    x = 3,961,418.49/1,678.41
  6. Step 6: Final answer
    x = 2,360.22

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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.