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Finding the Fourth Proportional to 2,289.60, 3,434.36 and 558.22

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Solution

The fourth proportional to 2,289.60, 3,434.36 and 558.22 is: 837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.60 : 3,434.36 = 558.22 : x
  2. Step 2: Convert to fraction form
    2,289.60/3,434.36 = 558.22/x
  3. Step 3: Cross multiply
    2,289.60x = 3,434.36 × 558.22
  4. Step 4: Simplify right side
    2,289.60x = 1,917,128.44
  5. Step 5: Solve for x
    x = 1,917,128.44/2,289.60
  6. Step 6: Final answer
    x = 837.32

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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.