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Finding the Fourth Proportional to 1,733.67, 2,378.16 and 1,690.47

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Solution

The fourth proportional to 1,733.67, 2,378.16 and 1,690.47 is: 2,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.67 : 2,378.16 = 1,690.47 : x
  2. Step 2: Convert to fraction form
    1,733.67/2,378.16 = 1,690.47/x
  3. Step 3: Cross multiply
    1,733.67x = 2,378.16 × 1,690.47
  4. Step 4: Simplify right side
    1,733.67x = 4,020,208.14
  5. Step 5: Solve for x
    x = 4,020,208.14/1,733.67
  6. Step 6: Final answer
    x = 2,318.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.