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Finding the Fourth Proportional to 3,011.54, 4,155.81 and 1,685.21

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Solution

The fourth proportional to 3,011.54, 4,155.81 and 1,685.21 is: 2,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.54 : 4,155.81 = 1,685.21 : x
  2. Step 2: Convert to fraction form
    3,011.54/4,155.81 = 1,685.21/x
  3. Step 3: Cross multiply
    3,011.54x = 4,155.81 × 1,685.21
  4. Step 4: Simplify right side
    3,011.54x = 7,003,412.57
  5. Step 5: Solve for x
    x = 7,003,412.57/3,011.54
  6. Step 6: Final answer
    x = 2,325.53

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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.