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Finding the Fourth Proportional to 1,701.56, 2,552.35 and 547.31

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Solution

The fourth proportional to 1,701.56, 2,552.35 and 547.31 is: 820.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.56 : 2,552.35 = 547.31 : x
  2. Step 2: Convert to fraction form
    1,701.56/2,552.35 = 547.31/x
  3. Step 3: Cross multiply
    1,701.56x = 2,552.35 × 547.31
  4. Step 4: Simplify right side
    1,701.56x = 1,396,930.32
  5. Step 5: Solve for x
    x = 1,396,930.32/1,701.56
  6. Step 6: Final answer
    x = 820.97

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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.