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Finding the Fourth Proportional to 2,705.33, 4,057.40 and 856.59

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Solution

The fourth proportional to 2,705.33, 4,057.40 and 856.59 is: 1,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.33 : 4,057.40 = 856.59 : x
  2. Step 2: Convert to fraction form
    2,705.33/4,057.40 = 856.59/x
  3. Step 3: Cross multiply
    2,705.33x = 4,057.40 × 856.59
  4. Step 4: Simplify right side
    2,705.33x = 3,475,528.27
  5. Step 5: Solve for x
    x = 3,475,528.27/2,705.33
  6. Step 6: Final answer
    x = 1,284.70

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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.