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Finding the Fourth Proportional to 2,059.86, 3,089.93 and 760.89

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Solution

The fourth proportional to 2,059.86, 3,089.93 and 760.89 is: 1,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.86 : 3,089.93 = 760.89 : x
  2. Step 2: Convert to fraction form
    2,059.86/3,089.93 = 760.89/x
  3. Step 3: Cross multiply
    2,059.86x = 3,089.93 × 760.89
  4. Step 4: Simplify right side
    2,059.86x = 2,351,093.03
  5. Step 5: Solve for x
    x = 2,351,093.03/2,059.86
  6. Step 6: Final answer
    x = 1,141.38

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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.