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Finding the Fourth Proportional to 3,464.32, 4,780.74 and 1,892.40

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Solution

The fourth proportional to 3,464.32, 4,780.74 and 1,892.40 is: 2,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.32 : 4,780.74 = 1,892.40 : x
  2. Step 2: Convert to fraction form
    3,464.32/4,780.74 = 1,892.40/x
  3. Step 3: Cross multiply
    3,464.32x = 4,780.74 × 1,892.40
  4. Step 4: Simplify right side
    3,464.32x = 9,047,072.38
  5. Step 5: Solve for x
    x = 9,047,072.38/3,464.32
  6. Step 6: Final answer
    x = 2,611.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.