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Finding the Fourth Proportional to 1,696.34, 2,341.02 and 950.54

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Solution

The fourth proportional to 1,696.34, 2,341.02 and 950.54 is: 1,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.34 : 2,341.02 = 950.54 : x
  2. Step 2: Convert to fraction form
    1,696.34/2,341.02 = 950.54/x
  3. Step 3: Cross multiply
    1,696.34x = 2,341.02 × 950.54
  4. Step 4: Simplify right side
    1,696.34x = 2,225,233.15
  5. Step 5: Solve for x
    x = 2,225,233.15/1,696.34
  6. Step 6: Final answer
    x = 1,311.78

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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.