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Finding the Fourth Proportional to 3,312.04, 4,964.90 and 1,230.62

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Solution

The fourth proportional to 3,312.04, 4,964.90 and 1,230.62 is: 1,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.04 : 4,964.90 = 1,230.62 : x
  2. Step 2: Convert to fraction form
    3,312.04/4,964.90 = 1,230.62/x
  3. Step 3: Cross multiply
    3,312.04x = 4,964.90 × 1,230.62
  4. Step 4: Simplify right side
    3,312.04x = 6,109,905.24
  5. Step 5: Solve for x
    x = 6,109,905.24/3,312.04
  6. Step 6: Final answer
    x = 1,844.76

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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.