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Finding the Fourth Proportional to 2,788.39, 4,182.75 and 2,006.25

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Solution

The fourth proportional to 2,788.39, 4,182.75 and 2,006.25 is: 3,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.39 : 4,182.75 = 2,006.25 : x
  2. Step 2: Convert to fraction form
    2,788.39/4,182.75 = 2,006.25/x
  3. Step 3: Cross multiply
    2,788.39x = 4,182.75 × 2,006.25
  4. Step 4: Simplify right side
    2,788.39x = 8,391,642.19
  5. Step 5: Solve for x
    x = 8,391,642.19/2,788.39
  6. Step 6: Final answer
    x = 3,009.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.