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Finding the Fourth Proportional to 2,354.11, 3,532.02 and 893.27

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Solution

The fourth proportional to 2,354.11, 3,532.02 and 893.27 is: 1,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.11 : 3,532.02 = 893.27 : x
  2. Step 2: Convert to fraction form
    2,354.11/3,532.02 = 893.27/x
  3. Step 3: Cross multiply
    2,354.11x = 3,532.02 × 893.27
  4. Step 4: Simplify right side
    2,354.11x = 3,155,047.51
  5. Step 5: Solve for x
    x = 3,155,047.51/2,354.11
  6. Step 6: Final answer
    x = 1,340.23

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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.