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Finding the Fourth Proportional to 2,427.35, 3,640.64 and 783.68

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Solution

The fourth proportional to 2,427.35, 3,640.64 and 783.68 is: 1,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.35 : 3,640.64 = 783.68 : x
  2. Step 2: Convert to fraction form
    2,427.35/3,640.64 = 783.68/x
  3. Step 3: Cross multiply
    2,427.35x = 3,640.64 × 783.68
  4. Step 4: Simplify right side
    2,427.35x = 2,853,074.63
  5. Step 5: Solve for x
    x = 2,853,074.63/2,427.35
  6. Step 6: Final answer
    x = 1,175.39

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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.