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Finding the Fourth Proportional to 2,938.68, 4,409.64 and 2,530.44

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Solution

The fourth proportional to 2,938.68, 4,409.64 and 2,530.44 is: 3,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.68 : 4,409.64 = 2,530.44 : x
  2. Step 2: Convert to fraction form
    2,938.68/4,409.64 = 2,530.44/x
  3. Step 3: Cross multiply
    2,938.68x = 4,409.64 × 2,530.44
  4. Step 4: Simplify right side
    2,938.68x = 11,158,329.44
  5. Step 5: Solve for x
    x = 11,158,329.44/2,938.68
  6. Step 6: Final answer
    x = 3,797.05

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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.