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Finding the Fourth Proportional to 2,011.70, 3,014.35 and 1,685.30

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Solution

The fourth proportional to 2,011.70, 3,014.35 and 1,685.30 is: 2,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.70 : 3,014.35 = 1,685.30 : x
  2. Step 2: Convert to fraction form
    2,011.70/3,014.35 = 1,685.30/x
  3. Step 3: Cross multiply
    2,011.70x = 3,014.35 × 1,685.30
  4. Step 4: Simplify right side
    2,011.70x = 5,080,084.06
  5. Step 5: Solve for x
    x = 5,080,084.06/2,011.70
  6. Step 6: Final answer
    x = 2,525.27

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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.