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Finding the Fourth Proportional to 1,402.87, 2,112.73 and 1,231.67

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Solution

The fourth proportional to 1,402.87, 2,112.73 and 1,231.67 is: 1,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.87 : 2,112.73 = 1,231.67 : x
  2. Step 2: Convert to fraction form
    1,402.87/2,112.73 = 1,231.67/x
  3. Step 3: Cross multiply
    1,402.87x = 2,112.73 × 1,231.67
  4. Step 4: Simplify right side
    1,402.87x = 2,602,186.38
  5. Step 5: Solve for x
    x = 2,602,186.38/1,402.87
  6. Step 6: Final answer
    x = 1,854.90

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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.