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Finding the Fourth Proportional to 2,444.47, 3,669.24 and 1,212.76

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Solution

The fourth proportional to 2,444.47, 3,669.24 and 1,212.76 is: 1,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.47 : 3,669.24 = 1,212.76 : x
  2. Step 2: Convert to fraction form
    2,444.47/3,669.24 = 1,212.76/x
  3. Step 3: Cross multiply
    2,444.47x = 3,669.24 × 1,212.76
  4. Step 4: Simplify right side
    2,444.47x = 4,449,907.50
  5. Step 5: Solve for x
    x = 4,449,907.50/2,444.47
  6. Step 6: Final answer
    x = 1,820.40

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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.