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Finding the Fourth Proportional to 2,730.30, 4,094.01 and 1,189.50

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Solution

The fourth proportional to 2,730.30, 4,094.01 and 1,189.50 is: 1,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.30 : 4,094.01 = 1,189.50 : x
  2. Step 2: Convert to fraction form
    2,730.30/4,094.01 = 1,189.50/x
  3. Step 3: Cross multiply
    2,730.30x = 4,094.01 × 1,189.50
  4. Step 4: Simplify right side
    2,730.30x = 4,869,824.90
  5. Step 5: Solve for x
    x = 4,869,824.90/2,730.30
  6. Step 6: Final answer
    x = 1,783.62

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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.