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Finding the Fourth Proportional to 2,774.88, 4,162.32 and 1,042.29

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Solution

The fourth proportional to 2,774.88, 4,162.32 and 1,042.29 is: 1,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.88 : 4,162.32 = 1,042.29 : x
  2. Step 2: Convert to fraction form
    2,774.88/4,162.32 = 1,042.29/x
  3. Step 3: Cross multiply
    2,774.88x = 4,162.32 × 1,042.29
  4. Step 4: Simplify right side
    2,774.88x = 4,338,344.51
  5. Step 5: Solve for x
    x = 4,338,344.51/2,774.88
  6. Step 6: Final answer
    x = 1,563.44

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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.