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Finding the Fourth Proportional to 2,634, 3,952.14 and 1,401.06

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Solution

The fourth proportional to 2,634, 3,952.14 and 1,401.06 is: 2,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,634 : 3,952.14 = 1,401.06 : x
  2. Step 2: Convert to fraction form
    2,634/3,952.14 = 1,401.06/x
  3. Step 3: Cross multiply
    2,634x = 3,952.14 × 1,401.06
  4. Step 4: Simplify right side
    2,634x = 5,537,185.27
  5. Step 5: Solve for x
    x = 5,537,185.27/2,634
  6. Step 6: Final answer
    x = 2,102.20

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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.