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Finding the Fourth Proportional to 2,977.44, 4,467.84 and 2,953.92

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Solution

The fourth proportional to 2,977.44, 4,467.84 and 2,953.92 is: 4,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.44 : 4,467.84 = 2,953.92 : x
  2. Step 2: Convert to fraction form
    2,977.44/4,467.84 = 2,953.92/x
  3. Step 3: Cross multiply
    2,977.44x = 4,467.84 × 2,953.92
  4. Step 4: Simplify right side
    2,977.44x = 13,197,641.93
  5. Step 5: Solve for x
    x = 13,197,641.93/2,977.44
  6. Step 6: Final answer
    x = 4,432.55

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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.