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Finding the Fourth Proportional to 3,257.78, 4,495.71 and 1,765.70

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Solution

The fourth proportional to 3,257.78, 4,495.71 and 1,765.70 is: 2,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.78 : 4,495.71 = 1,765.70 : x
  2. Step 2: Convert to fraction form
    3,257.78/4,495.71 = 1,765.70/x
  3. Step 3: Cross multiply
    3,257.78x = 4,495.71 × 1,765.70
  4. Step 4: Simplify right side
    3,257.78x = 7,938,071.18
  5. Step 5: Solve for x
    x = 7,938,071.18/3,257.78
  6. Step 6: Final answer
    x = 2,436.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.