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Finding the Fourth Proportional to 2,783.41, 4,175.17 and 934.18

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Solution

The fourth proportional to 2,783.41, 4,175.17 and 934.18 is: 1,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.41 : 4,175.17 = 934.18 : x
  2. Step 2: Convert to fraction form
    2,783.41/4,175.17 = 934.18/x
  3. Step 3: Cross multiply
    2,783.41x = 4,175.17 × 934.18
  4. Step 4: Simplify right side
    2,783.41x = 3,900,360.31
  5. Step 5: Solve for x
    x = 3,900,360.31/2,783.41
  6. Step 6: Final answer
    x = 1,401.29

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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.