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Finding the Fourth Proportional to 1,689.63, 2,333.48 and 1,285.17

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Solution

The fourth proportional to 1,689.63, 2,333.48 and 1,285.17 is: 1,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.63 : 2,333.48 = 1,285.17 : x
  2. Step 2: Convert to fraction form
    1,689.63/2,333.48 = 1,285.17/x
  3. Step 3: Cross multiply
    1,689.63x = 2,333.48 × 1,285.17
  4. Step 4: Simplify right side
    1,689.63x = 2,998,912.07
  5. Step 5: Solve for x
    x = 2,998,912.07/1,689.63
  6. Step 6: Final answer
    x = 1,774.89

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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.