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Finding the Fourth Proportional to 2,807.54, 4,214.50 and 1,422.44

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Solution

The fourth proportional to 2,807.54, 4,214.50 and 1,422.44 is: 2,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.54 : 4,214.50 = 1,422.44 : x
  2. Step 2: Convert to fraction form
    2,807.54/4,214.50 = 1,422.44/x
  3. Step 3: Cross multiply
    2,807.54x = 4,214.50 × 1,422.44
  4. Step 4: Simplify right side
    2,807.54x = 5,994,888.36
  5. Step 5: Solve for x
    x = 5,994,888.36/2,807.54
  6. Step 6: Final answer
    x = 2,135.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.