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Finding the Fourth Proportional to 3,069.76, 4,606.29 and 1,338.28

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Solution

The fourth proportional to 3,069.76, 4,606.29 and 1,338.28 is: 2,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.76 : 4,606.29 = 1,338.28 : x
  2. Step 2: Convert to fraction form
    3,069.76/4,606.29 = 1,338.28/x
  3. Step 3: Cross multiply
    3,069.76x = 4,606.29 × 1,338.28
  4. Step 4: Simplify right side
    3,069.76x = 6,164,505.78
  5. Step 5: Solve for x
    x = 6,164,505.78/3,069.76
  6. Step 6: Final answer
    x = 2,008.14

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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.