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Finding the Fourth Proportional to 1,611.06, 2,416.35 and 637.83

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Solution

The fourth proportional to 1,611.06, 2,416.35 and 637.83 is: 956.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.06 : 2,416.35 = 637.83 : x
  2. Step 2: Convert to fraction form
    1,611.06/2,416.35 = 637.83/x
  3. Step 3: Cross multiply
    1,611.06x = 2,416.35 × 637.83
  4. Step 4: Simplify right side
    1,611.06x = 1,541,220.52
  5. Step 5: Solve for x
    x = 1,541,220.52/1,611.06
  6. Step 6: Final answer
    x = 956.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.