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Finding the Fourth Proportional to 1,889.12, 2,832.83 and 1,011.47

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Solution

The fourth proportional to 1,889.12, 2,832.83 and 1,011.47 is: 1,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.12 : 2,832.83 = 1,011.47 : x
  2. Step 2: Convert to fraction form
    1,889.12/2,832.83 = 1,011.47/x
  3. Step 3: Cross multiply
    1,889.12x = 2,832.83 × 1,011.47
  4. Step 4: Simplify right side
    1,889.12x = 2,865,303.34
  5. Step 5: Solve for x
    x = 2,865,303.34/1,889.12
  6. Step 6: Final answer
    x = 1,516.74

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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.