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Finding the Fourth Proportional to 2,288.58, 3,435.30 and 1,423.50

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Solution

The fourth proportional to 2,288.58, 3,435.30 and 1,423.50 is: 2,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.58 : 3,435.30 = 1,423.50 : x
  2. Step 2: Convert to fraction form
    2,288.58/3,435.30 = 1,423.50/x
  3. Step 3: Cross multiply
    2,288.58x = 3,435.30 × 1,423.50
  4. Step 4: Simplify right side
    2,288.58x = 4,890,149.55
  5. Step 5: Solve for x
    x = 4,890,149.55/2,288.58
  6. Step 6: Final answer
    x = 2,136.76

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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.