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Finding the Fourth Proportional to 2,290.89, 3,434.02 and 903.69

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Solution

The fourth proportional to 2,290.89, 3,434.02 and 903.69 is: 1,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.89 : 3,434.02 = 903.69 : x
  2. Step 2: Convert to fraction form
    2,290.89/3,434.02 = 903.69/x
  3. Step 3: Cross multiply
    2,290.89x = 3,434.02 × 903.69
  4. Step 4: Simplify right side
    2,290.89x = 3,103,289.53
  5. Step 5: Solve for x
    x = 3,103,289.53/2,290.89
  6. Step 6: Final answer
    x = 1,354.62

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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.