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Finding the Fourth Proportional to 1,709.25, 2,557.80 and 1,016.30

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Solution

The fourth proportional to 1,709.25, 2,557.80 and 1,016.30 is: 1,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.25 : 2,557.80 = 1,016.30 : x
  2. Step 2: Convert to fraction form
    1,709.25/2,557.80 = 1,016.30/x
  3. Step 3: Cross multiply
    1,709.25x = 2,557.80 × 1,016.30
  4. Step 4: Simplify right side
    1,709.25x = 2,599,479.35
  5. Step 5: Solve for x
    x = 2,599,479.35/1,709.25
  6. Step 6: Final answer
    x = 1,520.83

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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.