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Finding the Fourth Proportional to 1,699.12, 2,344.94 and 943.09

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Solution

The fourth proportional to 1,699.12, 2,344.94 and 943.09 is: 1,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.12 : 2,344.94 = 943.09 : x
  2. Step 2: Convert to fraction form
    1,699.12/2,344.94 = 943.09/x
  3. Step 3: Cross multiply
    1,699.12x = 2,344.94 × 943.09
  4. Step 4: Simplify right side
    1,699.12x = 2,211,489.46
  5. Step 5: Solve for x
    x = 2,211,489.46/1,699.12
  6. Step 6: Final answer
    x = 1,301.55

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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.