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Finding the Fourth Proportional to 3,170.48, 4,758.24 and 1,783.52

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Solution

The fourth proportional to 3,170.48, 4,758.24 and 1,783.52 is: 2,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.48 : 4,758.24 = 1,783.52 : x
  2. Step 2: Convert to fraction form
    3,170.48/4,758.24 = 1,783.52/x
  3. Step 3: Cross multiply
    3,170.48x = 4,758.24 × 1,783.52
  4. Step 4: Simplify right side
    3,170.48x = 8,486,416.20
  5. Step 5: Solve for x
    x = 8,486,416.20/3,170.48
  6. Step 6: Final answer
    x = 2,676.70

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