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Finding the Fourth Proportional to 1,212, 1,826.40 and 1,011.12

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Solution

The fourth proportional to 1,212, 1,826.40 and 1,011.12 is: 1,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212 : 1,826.40 = 1,011.12 : x
  2. Step 2: Convert to fraction form
    1,212/1,826.40 = 1,011.12/x
  3. Step 3: Cross multiply
    1,212x = 1,826.40 × 1,011.12
  4. Step 4: Simplify right side
    1,212x = 1,846,709.57
  5. Step 5: Solve for x
    x = 1,846,709.57/1,212
  6. Step 6: Final answer
    x = 1,523.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.