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Finding the Fourth Proportional to 2,991.65, 4,127.85 and 1,812.50

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Solution

The fourth proportional to 2,991.65, 4,127.85 and 1,812.50 is: 2,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.65 : 4,127.85 = 1,812.50 : x
  2. Step 2: Convert to fraction form
    2,991.65/4,127.85 = 1,812.50/x
  3. Step 3: Cross multiply
    2,991.65x = 4,127.85 × 1,812.50
  4. Step 4: Simplify right side
    2,991.65x = 7,481,707.49
  5. Step 5: Solve for x
    x = 7,481,707.49/2,991.65
  6. Step 6: Final answer
    x = 2,500.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.