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Finding the Fourth Proportional to 2,840.49, 4,261.17 and 892.50

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Solution

The fourth proportional to 2,840.49, 4,261.17 and 892.50 is: 1,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.49 : 4,261.17 = 892.50 : x
  2. Step 2: Convert to fraction form
    2,840.49/4,261.17 = 892.50/x
  3. Step 3: Cross multiply
    2,840.49x = 4,261.17 × 892.50
  4. Step 4: Simplify right side
    2,840.49x = 3,803,094.23
  5. Step 5: Solve for x
    x = 3,803,094.23/2,840.49
  6. Step 6: Final answer
    x = 1,338.89

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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.