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Finding the Fourth Proportional to 1,611.44, 2,416.80 and 637.76

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Solution

The fourth proportional to 1,611.44, 2,416.80 and 637.76 is: 956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.44 : 2,416.80 = 637.76 : x
  2. Step 2: Convert to fraction form
    1,611.44/2,416.80 = 637.76/x
  3. Step 3: Cross multiply
    1,611.44x = 2,416.80 × 637.76
  4. Step 4: Simplify right side
    1,611.44x = 1,541,338.37
  5. Step 5: Solve for x
    x = 1,541,338.37/1,611.44
  6. Step 6: Final answer
    x = 956.50

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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.