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Finding the Fourth Proportional to 1,489.70, 2,234.55 and 1,370.90

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Solution

The fourth proportional to 1,489.70, 2,234.55 and 1,370.90 is: 2,056.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.70 : 2,234.55 = 1,370.90 : x
  2. Step 2: Convert to fraction form
    1,489.70/2,234.55 = 1,370.90/x
  3. Step 3: Cross multiply
    1,489.70x = 2,234.55 × 1,370.90
  4. Step 4: Simplify right side
    1,489.70x = 3,063,344.60
  5. Step 5: Solve for x
    x = 3,063,344.60/1,489.70
  6. Step 6: Final answer
    x = 2,056.35

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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.