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Finding the Fourth Proportional to 2,978.08, 4,467.48 and 1,438

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Solution

The fourth proportional to 2,978.08, 4,467.48 and 1,438 is: 2,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.08 : 4,467.48 = 1,438 : x
  2. Step 2: Convert to fraction form
    2,978.08/4,467.48 = 1,438/x
  3. Step 3: Cross multiply
    2,978.08x = 4,467.48 × 1,438
  4. Step 4: Simplify right side
    2,978.08x = 6,424,236.24
  5. Step 5: Solve for x
    x = 6,424,236.24/2,978.08
  6. Step 6: Final answer
    x = 2,157.17

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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.