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Finding the Fourth Proportional to 2,049.56, 2,828.50 and 1,551.32

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Solution

The fourth proportional to 2,049.56, 2,828.50 and 1,551.32 is: 2,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.56 : 2,828.50 = 1,551.32 : x
  2. Step 2: Convert to fraction form
    2,049.56/2,828.50 = 1,551.32/x
  3. Step 3: Cross multiply
    2,049.56x = 2,828.50 × 1,551.32
  4. Step 4: Simplify right side
    2,049.56x = 4,387,890.60
  5. Step 5: Solve for x
    x = 4,387,890.60/2,049.56
  6. Step 6: Final answer
    x = 2,140.90

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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.