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Finding the Fourth Proportional to 2,135.40, 3,203.52 and 902.80

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Solution

The fourth proportional to 2,135.40, 3,203.52 and 902.80 is: 1,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.40 : 3,203.52 = 902.80 : x
  2. Step 2: Convert to fraction form
    2,135.40/3,203.52 = 902.80/x
  3. Step 3: Cross multiply
    2,135.40x = 3,203.52 × 902.80
  4. Step 4: Simplify right side
    2,135.40x = 2,892,137.86
  5. Step 5: Solve for x
    x = 2,892,137.86/2,135.40
  6. Step 6: Final answer
    x = 1,354.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.