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Finding the Fourth Proportional to 3,845.88, 5,769.76 and 1,654.64

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Solution

The fourth proportional to 3,845.88, 5,769.76 and 1,654.64 is: 2,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.88 : 5,769.76 = 1,654.64 : x
  2. Step 2: Convert to fraction form
    3,845.88/5,769.76 = 1,654.64/x
  3. Step 3: Cross multiply
    3,845.88x = 5,769.76 × 1,654.64
  4. Step 4: Simplify right side
    3,845.88x = 9,546,875.69
  5. Step 5: Solve for x
    x = 9,546,875.69/3,845.88
  6. Step 6: Final answer
    x = 2,482.36

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1.5x scale

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.