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Finding the Fourth Proportional to 2,546.96, 3,820.55 and 903.69

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Solution

The fourth proportional to 2,546.96, 3,820.55 and 903.69 is: 1,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.96 : 3,820.55 = 903.69 : x
  2. Step 2: Convert to fraction form
    2,546.96/3,820.55 = 903.69/x
  3. Step 3: Cross multiply
    2,546.96x = 3,820.55 × 903.69
  4. Step 4: Simplify right side
    2,546.96x = 3,452,588.31
  5. Step 5: Solve for x
    x = 3,452,588.31/2,546.96
  6. Step 6: Final answer
    x = 1,355.57

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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.