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Finding the Fourth Proportional to 1,690.29, 2,333.48 and 1,165.41

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Solution

The fourth proportional to 1,690.29, 2,333.48 and 1,165.41 is: 1,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.29 : 2,333.48 = 1,165.41 : x
  2. Step 2: Convert to fraction form
    1,690.29/2,333.48 = 1,165.41/x
  3. Step 3: Cross multiply
    1,690.29x = 2,333.48 × 1,165.41
  4. Step 4: Simplify right side
    1,690.29x = 2,719,455.10
  5. Step 5: Solve for x
    x = 2,719,455.10/1,690.29
  6. Step 6: Final answer
    x = 1,608.87

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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.