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Finding the Fourth Proportional to 4,941.12, 7,408.32 and 1,978.56

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Solution

The fourth proportional to 4,941.12, 7,408.32 and 1,978.56 is: 2,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.12 : 7,408.32 = 1,978.56 : x
  2. Step 2: Convert to fraction form
    4,941.12/7,408.32 = 1,978.56/x
  3. Step 3: Cross multiply
    4,941.12x = 7,408.32 × 1,978.56
  4. Step 4: Simplify right side
    4,941.12x = 14,657,805.62
  5. Step 5: Solve for x
    x = 14,657,805.62/4,941.12
  6. Step 6: Final answer
    x = 2,966.49

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1.5x scale

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.