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Finding the Fourth Proportional to 2,335.36, 3,502.68 and 776.44

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Solution

The fourth proportional to 2,335.36, 3,502.68 and 776.44 is: 1,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.36 : 3,502.68 = 776.44 : x
  2. Step 2: Convert to fraction form
    2,335.36/3,502.68 = 776.44/x
  3. Step 3: Cross multiply
    2,335.36x = 3,502.68 × 776.44
  4. Step 4: Simplify right side
    2,335.36x = 2,719,620.86
  5. Step 5: Solve for x
    x = 2,719,620.86/2,335.36
  6. Step 6: Final answer
    x = 1,164.54

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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.