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Finding the Fourth Proportional to 2,828.70, 4,239.45 and 2,519.10

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Solution

The fourth proportional to 2,828.70, 4,239.45 and 2,519.10 is: 3,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.70 : 4,239.45 = 2,519.10 : x
  2. Step 2: Convert to fraction form
    2,828.70/4,239.45 = 2,519.10/x
  3. Step 3: Cross multiply
    2,828.70x = 4,239.45 × 2,519.10
  4. Step 4: Simplify right side
    2,828.70x = 10,679,598.50
  5. Step 5: Solve for x
    x = 10,679,598.50/2,828.70
  6. Step 6: Final answer
    x = 3,775.44

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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.