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Finding the Fourth Proportional to 1,693.46, 2,336.75 and 985.53

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Solution

The fourth proportional to 1,693.46, 2,336.75 and 985.53 is: 1,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.46 : 2,336.75 = 985.53 : x
  2. Step 2: Convert to fraction form
    1,693.46/2,336.75 = 985.53/x
  3. Step 3: Cross multiply
    1,693.46x = 2,336.75 × 985.53
  4. Step 4: Simplify right side
    1,693.46x = 2,302,933.85
  5. Step 5: Solve for x
    x = 2,302,933.85/1,693.46
  6. Step 6: Final answer
    x = 1,359.90

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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.