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Finding the Fourth Proportional to 3,033, 4,546.26 and 1,277.55

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Solution

The fourth proportional to 3,033, 4,546.26 and 1,277.55 is: 1,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033 : 4,546.26 = 1,277.55 : x
  2. Step 2: Convert to fraction form
    3,033/4,546.26 = 1,277.55/x
  3. Step 3: Cross multiply
    3,033x = 4,546.26 × 1,277.55
  4. Step 4: Simplify right side
    3,033x = 5,808,074.46
  5. Step 5: Solve for x
    x = 5,808,074.46/3,033
  6. Step 6: Final answer
    x = 1,914.96

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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.