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Finding the Fourth Proportional to 3,099.44, 4,649.42 and 878.28

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Solution

The fourth proportional to 3,099.44, 4,649.42 and 878.28 is: 1,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.44 : 4,649.42 = 878.28 : x
  2. Step 2: Convert to fraction form
    3,099.44/4,649.42 = 878.28/x
  3. Step 3: Cross multiply
    3,099.44x = 4,649.42 × 878.28
  4. Step 4: Simplify right side
    3,099.44x = 4,083,492.60
  5. Step 5: Solve for x
    x = 4,083,492.60/3,099.44
  6. Step 6: Final answer
    x = 1,317.49

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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.