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Finding the Fourth Proportional to 2,290.07, 3,433.05 and 828.89

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Solution

The fourth proportional to 2,290.07, 3,433.05 and 828.89 is: 1,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.07 : 3,433.05 = 828.89 : x
  2. Step 2: Convert to fraction form
    2,290.07/3,433.05 = 828.89/x
  3. Step 3: Cross multiply
    2,290.07x = 3,433.05 × 828.89
  4. Step 4: Simplify right side
    2,290.07x = 2,845,620.81
  5. Step 5: Solve for x
    x = 2,845,620.81/2,290.07
  6. Step 6: Final answer
    x = 1,242.59

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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.