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Finding the Fourth Proportional to 3,036.62, 4,546.17 and 1,783.42

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Solution

The fourth proportional to 3,036.62, 4,546.17 and 1,783.42 is: 2,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.62 : 4,546.17 = 1,783.42 : x
  2. Step 2: Convert to fraction form
    3,036.62/4,546.17 = 1,783.42/x
  3. Step 3: Cross multiply
    3,036.62x = 4,546.17 × 1,783.42
  4. Step 4: Simplify right side
    3,036.62x = 8,107,707.77
  5. Step 5: Solve for x
    x = 8,107,707.77/3,036.62
  6. Step 6: Final answer
    x = 2,669.98

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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.