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Finding the Fourth Proportional to 2,059.20, 3,089.34 and 760.68

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Solution

The fourth proportional to 2,059.20, 3,089.34 and 760.68 is: 1,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.20 : 3,089.34 = 760.68 : x
  2. Step 2: Convert to fraction form
    2,059.20/3,089.34 = 760.68/x
  3. Step 3: Cross multiply
    2,059.20x = 3,089.34 × 760.68
  4. Step 4: Simplify right side
    2,059.20x = 2,349,999.15
  5. Step 5: Solve for x
    x = 2,349,999.15/2,059.20
  6. Step 6: Final answer
    x = 1,141.22

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1.5x scale

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.