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Finding the Fourth Proportional to 1,330.88, 1,849.36 and 1,314.56

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Solution

The fourth proportional to 1,330.88, 1,849.36 and 1,314.56 is: 1,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.88 : 1,849.36 = 1,314.56 : x
  2. Step 2: Convert to fraction form
    1,330.88/1,849.36 = 1,314.56/x
  3. Step 3: Cross multiply
    1,330.88x = 1,849.36 × 1,314.56
  4. Step 4: Simplify right side
    1,330.88x = 2,431,094.68
  5. Step 5: Solve for x
    x = 2,431,094.68/1,330.88
  6. Step 6: Final answer
    x = 1,826.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.