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Finding the Fourth Proportional to 1,863.60, 2,796.48 and 767.76

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Solution

The fourth proportional to 1,863.60, 2,796.48 and 767.76 is: 1,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.60 : 2,796.48 = 767.76 : x
  2. Step 2: Convert to fraction form
    1,863.60/2,796.48 = 767.76/x
  3. Step 3: Cross multiply
    1,863.60x = 2,796.48 × 767.76
  4. Step 4: Simplify right side
    1,863.60x = 2,147,025.48
  5. Step 5: Solve for x
    x = 2,147,025.48/1,863.60
  6. Step 6: Final answer
    x = 1,152.08

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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.