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Finding the Fourth Proportional to 2,690.46, 3,713 and 1,511.53

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Solution

The fourth proportional to 2,690.46, 3,713 and 1,511.53 is: 2,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.46 : 3,713 = 1,511.53 : x
  2. Step 2: Convert to fraction form
    2,690.46/3,713 = 1,511.53/x
  3. Step 3: Cross multiply
    2,690.46x = 3,713 × 1,511.53
  4. Step 4: Simplify right side
    2,690.46x = 5,612,310.89
  5. Step 5: Solve for x
    x = 5,612,310.89/2,690.46
  6. Step 6: Final answer
    x = 2,086.00

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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.