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Finding the Fourth Proportional to 3,102.33, 4,279.76 and 1,775.28

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Solution

The fourth proportional to 3,102.33, 4,279.76 and 1,775.28 is: 2,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.33 : 4,279.76 = 1,775.28 : x
  2. Step 2: Convert to fraction form
    3,102.33/4,279.76 = 1,775.28/x
  3. Step 3: Cross multiply
    3,102.33x = 4,279.76 × 1,775.28
  4. Step 4: Simplify right side
    3,102.33x = 7,597,763.46
  5. Step 5: Solve for x
    x = 7,597,763.46/3,102.33
  6. Step 6: Final answer
    x = 2,449.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.