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Finding the Fourth Proportional to 1,689.51, 2,534.69 and 1,196.88

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Solution

The fourth proportional to 1,689.51, 2,534.69 and 1,196.88 is: 1,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.51 : 2,534.69 = 1,196.88 : x
  2. Step 2: Convert to fraction form
    1,689.51/2,534.69 = 1,196.88/x
  3. Step 3: Cross multiply
    1,689.51x = 2,534.69 × 1,196.88
  4. Step 4: Simplify right side
    1,689.51x = 3,033,713.78
  5. Step 5: Solve for x
    x = 3,033,713.78/1,689.51
  6. Step 6: Final answer
    x = 1,795.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.