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Finding the Fourth Proportional to 1,806.84, 2,706.48 and 1,439.64

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Solution

The fourth proportional to 1,806.84, 2,706.48 and 1,439.64 is: 2,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.84 : 2,706.48 = 1,439.64 : x
  2. Step 2: Convert to fraction form
    1,806.84/2,706.48 = 1,439.64/x
  3. Step 3: Cross multiply
    1,806.84x = 2,706.48 × 1,439.64
  4. Step 4: Simplify right side
    1,806.84x = 3,896,356.87
  5. Step 5: Solve for x
    x = 3,896,356.87/1,806.84
  6. Step 6: Final answer
    x = 2,156.45

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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.