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Finding the Fourth Proportional to 3,011.53, 4,155.90 and 1,685.23

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Solution

The fourth proportional to 3,011.53, 4,155.90 and 1,685.23 is: 2,325.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.53 : 4,155.90 = 1,685.23 : x
  2. Step 2: Convert to fraction form
    3,011.53/4,155.90 = 1,685.23/x
  3. Step 3: Cross multiply
    3,011.53x = 4,155.90 × 1,685.23
  4. Step 4: Simplify right side
    3,011.53x = 7,003,647.36
  5. Step 5: Solve for x
    x = 7,003,647.36/3,011.53
  6. Step 6: Final answer
    x = 2,325.61

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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.