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Finding the Fourth Proportional to 1,701.85, 2,549.64 and 1,084.25

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Solution

The fourth proportional to 1,701.85, 2,549.64 and 1,084.25 is: 1,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.85 : 2,549.64 = 1,084.25 : x
  2. Step 2: Convert to fraction form
    1,701.85/2,549.64 = 1,084.25/x
  3. Step 3: Cross multiply
    1,701.85x = 2,549.64 × 1,084.25
  4. Step 4: Simplify right side
    1,701.85x = 2,764,447.17
  5. Step 5: Solve for x
    x = 2,764,447.17/1,701.85
  6. Step 6: Final answer
    x = 1,624.38

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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.