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Finding the Fourth Proportional to 2,783.76, 4,175.90 and 934.22

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Solution

The fourth proportional to 2,783.76, 4,175.90 and 934.22 is: 1,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.76 : 4,175.90 = 934.22 : x
  2. Step 2: Convert to fraction form
    2,783.76/4,175.90 = 934.22/x
  3. Step 3: Cross multiply
    2,783.76x = 4,175.90 × 934.22
  4. Step 4: Simplify right side
    2,783.76x = 3,901,209.30
  5. Step 5: Solve for x
    x = 3,901,209.30/2,783.76
  6. Step 6: Final answer
    x = 1,401.42

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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.