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Finding the Fourth Proportional to 3,011.65, 4,155.99 and 1,685.50

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Solution

The fourth proportional to 3,011.65, 4,155.99 and 1,685.50 is: 2,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.65 : 4,155.99 = 1,685.50 : x
  2. Step 2: Convert to fraction form
    3,011.65/4,155.99 = 1,685.50/x
  3. Step 3: Cross multiply
    3,011.65x = 4,155.99 × 1,685.50
  4. Step 4: Simplify right side
    3,011.65x = 7,004,900.37
  5. Step 5: Solve for x
    x = 7,004,900.37/3,011.65
  6. Step 6: Final answer
    x = 2,325.94

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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.