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Finding the Fourth Proportional to 2,637.76, 3,956.64 and 882.45

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Solution

The fourth proportional to 2,637.76, 3,956.64 and 882.45 is: 1,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.76 : 3,956.64 = 882.45 : x
  2. Step 2: Convert to fraction form
    2,637.76/3,956.64 = 882.45/x
  3. Step 3: Cross multiply
    2,637.76x = 3,956.64 × 882.45
  4. Step 4: Simplify right side
    2,637.76x = 3,491,536.97
  5. Step 5: Solve for x
    x = 3,491,536.97/2,637.76
  6. Step 6: Final answer
    x = 1,323.68

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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.