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Finding the Fourth Proportional to 2,089.93, 3,134.93 and 550.93

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Solution

The fourth proportional to 2,089.93, 3,134.93 and 550.93 is: 826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.93 : 3,134.93 = 550.93 : x
  2. Step 2: Convert to fraction form
    2,089.93/3,134.93 = 550.93/x
  3. Step 3: Cross multiply
    2,089.93x = 3,134.93 × 550.93
  4. Step 4: Simplify right side
    2,089.93x = 1,727,126.98
  5. Step 5: Solve for x
    x = 1,727,126.98/2,089.93
  6. Step 6: Final answer
    x = 826.40

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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.