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Finding the Fourth Proportional to 2,355.64, 3,533.70 and 796.05

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Solution

The fourth proportional to 2,355.64, 3,533.70 and 796.05 is: 1,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.64 : 3,533.70 = 796.05 : x
  2. Step 2: Convert to fraction form
    2,355.64/3,533.70 = 796.05/x
  3. Step 3: Cross multiply
    2,355.64x = 3,533.70 × 796.05
  4. Step 4: Simplify right side
    2,355.64x = 2,813,001.89
  5. Step 5: Solve for x
    x = 2,813,001.89/2,355.64
  6. Step 6: Final answer
    x = 1,194.16

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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.