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Finding the Fourth Proportional to 2,106.03, 3,158.97 and 935.28

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Solution

The fourth proportional to 2,106.03, 3,158.97 and 935.28 is: 1,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.03 : 3,158.97 = 935.28 : x
  2. Step 2: Convert to fraction form
    2,106.03/3,158.97 = 935.28/x
  3. Step 3: Cross multiply
    2,106.03x = 3,158.97 × 935.28
  4. Step 4: Simplify right side
    2,106.03x = 2,954,521.46
  5. Step 5: Solve for x
    x = 2,954,521.46/2,106.03
  6. Step 6: Final answer
    x = 1,402.89

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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.