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Finding the Fourth Proportional to 2,742.24, 4,112.38 and 893.01

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Solution

The fourth proportional to 2,742.24, 4,112.38 and 893.01 is: 1,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.24 : 4,112.38 = 893.01 : x
  2. Step 2: Convert to fraction form
    2,742.24/4,112.38 = 893.01/x
  3. Step 3: Cross multiply
    2,742.24x = 4,112.38 × 893.01
  4. Step 4: Simplify right side
    2,742.24x = 3,672,371.44
  5. Step 5: Solve for x
    x = 3,672,371.44/2,742.24
  6. Step 6: Final answer
    x = 1,339.19

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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.