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Finding the Fourth Proportional to 2,894.32, 3,994.48 and 1,775.44

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Solution

The fourth proportional to 2,894.32, 3,994.48 and 1,775.44 is: 2,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.32 : 3,994.48 = 1,775.44 : x
  2. Step 2: Convert to fraction form
    2,894.32/3,994.48 = 1,775.44/x
  3. Step 3: Cross multiply
    2,894.32x = 3,994.48 × 1,775.44
  4. Step 4: Simplify right side
    2,894.32x = 7,091,959.57
  5. Step 5: Solve for x
    x = 7,091,959.57/2,894.32
  6. Step 6: Final answer
    x = 2,450.30

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1.5x scale

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.