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Finding the Fourth Proportional to 2,172.30, 3,257.37 and 785.58

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Solution

The fourth proportional to 2,172.30, 3,257.37 and 785.58 is: 1,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.30 : 3,257.37 = 785.58 : x
  2. Step 2: Convert to fraction form
    2,172.30/3,257.37 = 785.58/x
  3. Step 3: Cross multiply
    2,172.30x = 3,257.37 × 785.58
  4. Step 4: Simplify right side
    2,172.30x = 2,558,924.72
  5. Step 5: Solve for x
    x = 2,558,924.72/2,172.30
  6. Step 6: Final answer
    x = 1,177.98

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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.