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Finding the Fourth Proportional to 2,706.64, 4,056.41 and 1,389.28

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Solution

The fourth proportional to 2,706.64, 4,056.41 and 1,389.28 is: 2,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.64 : 4,056.41 = 1,389.28 : x
  2. Step 2: Convert to fraction form
    2,706.64/4,056.41 = 1,389.28/x
  3. Step 3: Cross multiply
    2,706.64x = 4,056.41 × 1,389.28
  4. Step 4: Simplify right side
    2,706.64x = 5,635,489.28
  5. Step 5: Solve for x
    x = 5,635,489.28/2,706.64
  6. Step 6: Final answer
    x = 2,082.10

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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.