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Finding the Fourth Proportional to 2,289.42, 3,434.04 and 558

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Solution

The fourth proportional to 2,289.42, 3,434.04 and 558 is: 836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.42 : 3,434.04 = 558 : x
  2. Step 2: Convert to fraction form
    2,289.42/3,434.04 = 558/x
  3. Step 3: Cross multiply
    2,289.42x = 3,434.04 × 558
  4. Step 4: Simplify right side
    2,289.42x = 1,916,194.32
  5. Step 5: Solve for x
    x = 1,916,194.32/2,289.42
  6. Step 6: Final answer
    x = 836.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.