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Finding the Fourth Proportional to 2,978.05, 4,467.90 and 1,416.79

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Solution

The fourth proportional to 2,978.05, 4,467.90 and 1,416.79 is: 2,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.05 : 4,467.90 = 1,416.79 : x
  2. Step 2: Convert to fraction form
    2,978.05/4,467.90 = 1,416.79/x
  3. Step 3: Cross multiply
    2,978.05x = 4,467.90 × 1,416.79
  4. Step 4: Simplify right side
    2,978.05x = 6,330,076.04
  5. Step 5: Solve for x
    x = 6,330,076.04/2,978.05
  6. Step 6: Final answer
    x = 2,125.58

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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.