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Finding the Fourth Proportional to 2,442.76, 3,664.18 and 882.88

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Solution

The fourth proportional to 2,442.76, 3,664.18 and 882.88 is: 1,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.76 : 3,664.18 = 882.88 : x
  2. Step 2: Convert to fraction form
    2,442.76/3,664.18 = 882.88/x
  3. Step 3: Cross multiply
    2,442.76x = 3,664.18 × 882.88
  4. Step 4: Simplify right side
    2,442.76x = 3,235,031.24
  5. Step 5: Solve for x
    x = 3,235,031.24/2,442.76
  6. Step 6: Final answer
    x = 1,324.33

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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.