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Finding the Fourth Proportional to 1,610.68, 2,416.56 and 637.44

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Solution

The fourth proportional to 1,610.68, 2,416.56 and 637.44 is: 956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.68 : 2,416.56 = 637.44 : x
  2. Step 2: Convert to fraction form
    1,610.68/2,416.56 = 637.44/x
  3. Step 3: Cross multiply
    1,610.68x = 2,416.56 × 637.44
  4. Step 4: Simplify right side
    1,610.68x = 1,540,412.01
  5. Step 5: Solve for x
    x = 1,540,412.01/1,610.68
  6. Step 6: Final answer
    x = 956.37

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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.