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Finding the Fourth Proportional to 1,689.34, 2,331.18 and 943.28

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Solution

The fourth proportional to 1,689.34, 2,331.18 and 943.28 is: 1,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.34 : 2,331.18 = 943.28 : x
  2. Step 2: Convert to fraction form
    1,689.34/2,331.18 = 943.28/x
  3. Step 3: Cross multiply
    1,689.34x = 2,331.18 × 943.28
  4. Step 4: Simplify right side
    1,689.34x = 2,198,955.47
  5. Step 5: Solve for x
    x = 2,198,955.47/1,689.34
  6. Step 6: Final answer
    x = 1,301.67

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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.