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Finding the Fourth Proportional to 2,633.51, 3,631.64 and 1,689.15

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Solution

The fourth proportional to 2,633.51, 3,631.64 and 1,689.15 is: 2,329.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.51 : 3,631.64 = 1,689.15 : x
  2. Step 2: Convert to fraction form
    2,633.51/3,631.64 = 1,689.15/x
  3. Step 3: Cross multiply
    2,633.51x = 3,631.64 × 1,689.15
  4. Step 4: Simplify right side
    2,633.51x = 6,134,389.88
  5. Step 5: Solve for x
    x = 6,134,389.88/2,633.51
  6. Step 6: Final answer
    x = 2,329.36

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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.