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Finding the Fourth Proportional to 4,176.30, 6,255.93 and 1,978.35

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Solution

The fourth proportional to 4,176.30, 6,255.93 and 1,978.35 is: 2,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.30 : 6,255.93 = 1,978.35 : x
  2. Step 2: Convert to fraction form
    4,176.30/6,255.93 = 1,978.35/x
  3. Step 3: Cross multiply
    4,176.30x = 6,255.93 × 1,978.35
  4. Step 4: Simplify right side
    4,176.30x = 12,376,419.12
  5. Step 5: Solve for x
    x = 12,376,419.12/4,176.30
  6. Step 6: Final answer
    x = 2,963.49

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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.