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Finding the Fourth Proportional to 4,463.40, 6,695.12 and 1,343.42

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Solution

The fourth proportional to 4,463.40, 6,695.12 and 1,343.42 is: 2,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.40 : 6,695.12 = 1,343.42 : x
  2. Step 2: Convert to fraction form
    4,463.40/6,695.12 = 1,343.42/x
  3. Step 3: Cross multiply
    4,463.40x = 6,695.12 × 1,343.42
  4. Step 4: Simplify right side
    4,463.40x = 8,994,353.10
  5. Step 5: Solve for x
    x = 8,994,353.10/4,463.40
  6. Step 6: Final answer
    x = 2,015.13

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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.