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Finding the Fourth Proportional to 1,689.71, 2,333.41 and 1,597.68

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Solution

The fourth proportional to 1,689.71, 2,333.41 and 1,597.68 is: 2,206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.71 : 2,333.41 = 1,597.68 : x
  2. Step 2: Convert to fraction form
    1,689.71/2,333.41 = 1,597.68/x
  3. Step 3: Cross multiply
    1,689.71x = 2,333.41 × 1,597.68
  4. Step 4: Simplify right side
    1,689.71x = 3,728,042.49
  5. Step 5: Solve for x
    x = 3,728,042.49/1,689.71
  6. Step 6: Final answer
    x = 2,206.32

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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.