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Finding the Fourth Proportional to 1,361.04, 2,039.10 and 949.38

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Solution

The fourth proportional to 1,361.04, 2,039.10 and 949.38 is: 1,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.04 : 2,039.10 = 949.38 : x
  2. Step 2: Convert to fraction form
    1,361.04/2,039.10 = 949.38/x
  3. Step 3: Cross multiply
    1,361.04x = 2,039.10 × 949.38
  4. Step 4: Simplify right side
    1,361.04x = 1,935,880.76
  5. Step 5: Solve for x
    x = 1,935,880.76/1,361.04
  6. Step 6: Final answer
    x = 1,422.35

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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.