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Finding the Fourth Proportional to 2,288.99, 3,430.45 and 826.74

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Solution

The fourth proportional to 2,288.99, 3,430.45 and 826.74 is: 1,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.99 : 3,430.45 = 826.74 : x
  2. Step 2: Convert to fraction form
    2,288.99/3,430.45 = 826.74/x
  3. Step 3: Cross multiply
    2,288.99x = 3,430.45 × 826.74
  4. Step 4: Simplify right side
    2,288.99x = 2,836,091.27
  5. Step 5: Solve for x
    x = 2,836,091.27/2,288.99
  6. Step 6: Final answer
    x = 1,239.01

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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.