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Finding the Fourth Proportional to 1,699.31, 2,343.46 and 1,131.89

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Solution

The fourth proportional to 1,699.31, 2,343.46 and 1,131.89 is: 1,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.31 : 2,343.46 = 1,131.89 : x
  2. Step 2: Convert to fraction form
    1,699.31/2,343.46 = 1,131.89/x
  3. Step 3: Cross multiply
    1,699.31x = 2,343.46 × 1,131.89
  4. Step 4: Simplify right side
    1,699.31x = 2,652,538.94
  5. Step 5: Solve for x
    x = 2,652,538.94/1,699.31
  6. Step 6: Final answer
    x = 1,560.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.