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Finding the Fourth Proportional to 2,365.18, 3,546.51 and 903.49

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Solution

The fourth proportional to 2,365.18, 3,546.51 and 903.49 is: 1,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.18 : 3,546.51 = 903.49 : x
  2. Step 2: Convert to fraction form
    2,365.18/3,546.51 = 903.49/x
  3. Step 3: Cross multiply
    2,365.18x = 3,546.51 × 903.49
  4. Step 4: Simplify right side
    2,365.18x = 3,204,236.32
  5. Step 5: Solve for x
    x = 3,204,236.32/2,365.18
  6. Step 6: Final answer
    x = 1,354.75

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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.