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Finding the Fourth Proportional to 2,858.06, 4,282.20 and 1,560.44

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Solution

The fourth proportional to 2,858.06, 4,282.20 and 1,560.44 is: 2,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.06 : 4,282.20 = 1,560.44 : x
  2. Step 2: Convert to fraction form
    2,858.06/4,282.20 = 1,560.44/x
  3. Step 3: Cross multiply
    2,858.06x = 4,282.20 × 1,560.44
  4. Step 4: Simplify right side
    2,858.06x = 6,682,116.17
  5. Step 5: Solve for x
    x = 6,682,116.17/2,858.06
  6. Step 6: Final answer
    x = 2,337.99

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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.