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Finding the Fourth Proportional to 3,159.81, 4,730.47 and 2,219.50

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Solution

The fourth proportional to 3,159.81, 4,730.47 and 2,219.50 is: 3,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.81 : 4,730.47 = 2,219.50 : x
  2. Step 2: Convert to fraction form
    3,159.81/4,730.47 = 2,219.50/x
  3. Step 3: Cross multiply
    3,159.81x = 4,730.47 × 2,219.50
  4. Step 4: Simplify right side
    3,159.81x = 10,499,278.53
  5. Step 5: Solve for x
    x = 10,499,278.53/3,159.81
  6. Step 6: Final answer
    x = 3,322.76

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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.