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Finding the Fourth Proportional to 3,654.66, 5,482.67 and 1,190.18

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Solution

The fourth proportional to 3,654.66, 5,482.67 and 1,190.18 is: 1,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.66 : 5,482.67 = 1,190.18 : x
  2. Step 2: Convert to fraction form
    3,654.66/5,482.67 = 1,190.18/x
  3. Step 3: Cross multiply
    3,654.66x = 5,482.67 × 1,190.18
  4. Step 4: Simplify right side
    3,654.66x = 6,525,364.18
  5. Step 5: Solve for x
    x = 6,525,364.18/3,654.66
  6. Step 6: Final answer
    x = 1,785.49

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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.