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Finding the Fourth Proportional to 1,690.79, 2,333.57 and 1,646.37

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Solution

The fourth proportional to 1,690.79, 2,333.57 and 1,646.37 is: 2,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.79 : 2,333.57 = 1,646.37 : x
  2. Step 2: Convert to fraction form
    1,690.79/2,333.57 = 1,646.37/x
  3. Step 3: Cross multiply
    1,690.79x = 2,333.57 × 1,646.37
  4. Step 4: Simplify right side
    1,690.79x = 3,841,919.64
  5. Step 5: Solve for x
    x = 3,841,919.64/1,690.79
  6. Step 6: Final answer
    x = 2,272.26

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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.