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Finding the Fourth Proportional to 2,705.45, 4,056.66 and 857.03

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Solution

The fourth proportional to 2,705.45, 4,056.66 and 857.03 is: 1,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.45 : 4,056.66 = 857.03 : x
  2. Step 2: Convert to fraction form
    2,705.45/4,056.66 = 857.03/x
  3. Step 3: Cross multiply
    2,705.45x = 4,056.66 × 857.03
  4. Step 4: Simplify right side
    2,705.45x = 3,476,689.46
  5. Step 5: Solve for x
    x = 3,476,689.46/2,705.45
  6. Step 6: Final answer
    x = 1,285.07

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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.