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Finding the Fourth Proportional to 3,000.83, 4,500.73 and 1,357.00

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Solution

The fourth proportional to 3,000.83, 4,500.73 and 1,357.00 is: 2,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.83 : 4,500.73 = 1,357.00 : x
  2. Step 2: Convert to fraction form
    3,000.83/4,500.73 = 1,357.00/x
  3. Step 3: Cross multiply
    3,000.83x = 4,500.73 × 1,357.00
  4. Step 4: Simplify right side
    3,000.83x = 6,107,475.97
  5. Step 5: Solve for x
    x = 6,107,475.97/3,000.83
  6. Step 6: Final answer
    x = 2,035.26

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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.