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Finding the Fourth Proportional to 2,788.54, 4,181.74 and 939.16

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Solution

The fourth proportional to 2,788.54, 4,181.74 and 939.16 is: 1,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.54 : 4,181.74 = 939.16 : x
  2. Step 2: Convert to fraction form
    2,788.54/4,181.74 = 939.16/x
  3. Step 3: Cross multiply
    2,788.54x = 4,181.74 × 939.16
  4. Step 4: Simplify right side
    2,788.54x = 3,927,302.03
  5. Step 5: Solve for x
    x = 3,927,302.03/2,788.54
  6. Step 6: Final answer
    x = 1,408.37

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1.5x scale

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.