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Finding the Fourth Proportional to 2,842.50, 4,266.18 and 1,112.34

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Solution

The fourth proportional to 2,842.50, 4,266.18 and 1,112.34 is: 1,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.50 : 4,266.18 = 1,112.34 : x
  2. Step 2: Convert to fraction form
    2,842.50/4,266.18 = 1,112.34/x
  3. Step 3: Cross multiply
    2,842.50x = 4,266.18 × 1,112.34
  4. Step 4: Simplify right side
    2,842.50x = 4,745,442.66
  5. Step 5: Solve for x
    x = 4,745,442.66/2,842.50
  6. Step 6: Final answer
    x = 1,669.46

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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.