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Finding the Fourth Proportional to 2,104.34, 3,156.29 and 934.37

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Solution

The fourth proportional to 2,104.34, 3,156.29 and 934.37 is: 1,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.34 : 3,156.29 = 934.37 : x
  2. Step 2: Convert to fraction form
    2,104.34/3,156.29 = 934.37/x
  3. Step 3: Cross multiply
    2,104.34x = 3,156.29 × 934.37
  4. Step 4: Simplify right side
    2,104.34x = 2,949,122.23
  5. Step 5: Solve for x
    x = 2,949,122.23/2,104.34
  6. Step 6: Final answer
    x = 1,401.45

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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.