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Finding the Fourth Proportional to 1,863.34, 2,571.88 and 1,266.84

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Solution

The fourth proportional to 1,863.34, 2,571.88 and 1,266.84 is: 1,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.34 : 2,571.88 = 1,266.84 : x
  2. Step 2: Convert to fraction form
    1,863.34/2,571.88 = 1,266.84/x
  3. Step 3: Cross multiply
    1,863.34x = 2,571.88 × 1,266.84
  4. Step 4: Simplify right side
    1,863.34x = 3,258,160.46
  5. Step 5: Solve for x
    x = 3,258,160.46/1,863.34
  6. Step 6: Final answer
    x = 1,748.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.