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Finding the Fourth Proportional to 4,899.60, 7,349.94 and 1,612.80

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Solution

The fourth proportional to 4,899.60, 7,349.94 and 1,612.80 is: 2,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.60 : 7,349.94 = 1,612.80 : x
  2. Step 2: Convert to fraction form
    4,899.60/7,349.94 = 1,612.80/x
  3. Step 3: Cross multiply
    4,899.60x = 7,349.94 × 1,612.80
  4. Step 4: Simplify right side
    4,899.60x = 11,853,983.23
  5. Step 5: Solve for x
    x = 11,853,983.23/4,899.60
  6. Step 6: Final answer
    x = 2,419.38

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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.