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Finding the Fourth Proportional to 1,489.86, 2,234.80 and 1,165.50

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Solution

The fourth proportional to 1,489.86, 2,234.80 and 1,165.50 is: 1,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.86 : 2,234.80 = 1,165.50 : x
  2. Step 2: Convert to fraction form
    1,489.86/2,234.80 = 1,165.50/x
  3. Step 3: Cross multiply
    1,489.86x = 2,234.80 × 1,165.50
  4. Step 4: Simplify right side
    1,489.86x = 2,604,659.40
  5. Step 5: Solve for x
    x = 2,604,659.40/1,489.86
  6. Step 6: Final answer
    x = 1,748.26

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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.