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Finding the Fourth Proportional to 3,091.99, 4,637.00 and 1,011.43

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Solution

The fourth proportional to 3,091.99, 4,637.00 and 1,011.43 is: 1,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.99 : 4,637.00 = 1,011.43 : x
  2. Step 2: Convert to fraction form
    3,091.99/4,637.00 = 1,011.43/x
  3. Step 3: Cross multiply
    3,091.99x = 4,637.00 × 1,011.43
  4. Step 4: Simplify right side
    3,091.99x = 4,690,001.65
  5. Step 5: Solve for x
    x = 4,690,001.65/3,091.99
  6. Step 6: Final answer
    x = 1,516.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.