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Finding the Fourth Proportional to 1,371.18, 2,057.52 and 902.64

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Solution

The fourth proportional to 1,371.18, 2,057.52 and 902.64 is: 1,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.18 : 2,057.52 = 902.64 : x
  2. Step 2: Convert to fraction form
    1,371.18/2,057.52 = 902.64/x
  3. Step 3: Cross multiply
    1,371.18x = 2,057.52 × 902.64
  4. Step 4: Simplify right side
    1,371.18x = 1,857,205.88
  5. Step 5: Solve for x
    x = 1,857,205.88/1,371.18
  6. Step 6: Final answer
    x = 1,354.46

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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.