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Finding the Fourth Proportional to 1,362.12, 2,043.16 and 902.80

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Solution

The fourth proportional to 1,362.12, 2,043.16 and 902.80 is: 1,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.12 : 2,043.16 = 902.80 : x
  2. Step 2: Convert to fraction form
    1,362.12/2,043.16 = 902.80/x
  3. Step 3: Cross multiply
    1,362.12x = 2,043.16 × 902.80
  4. Step 4: Simplify right side
    1,362.12x = 1,844,564.85
  5. Step 5: Solve for x
    x = 1,844,564.85/1,362.12
  6. Step 6: Final answer
    x = 1,354.19

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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.