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Finding the Fourth Proportional to 2,289.63, 3,434.46 and 558.25

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Solution

The fourth proportional to 2,289.63, 3,434.46 and 558.25 is: 837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.63 : 3,434.46 = 558.25 : x
  2. Step 2: Convert to fraction form
    2,289.63/3,434.46 = 558.25/x
  3. Step 3: Cross multiply
    2,289.63x = 3,434.46 × 558.25
  4. Step 4: Simplify right side
    2,289.63x = 1,917,287.30
  5. Step 5: Solve for x
    x = 1,917,287.30/2,289.63
  6. Step 6: Final answer
    x = 837.38

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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.