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Finding the Fourth Proportional to 1,689.21, 2,332.72 and 1,597.17

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Solution

The fourth proportional to 1,689.21, 2,332.72 and 1,597.17 is: 2,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.21 : 2,332.72 = 1,597.17 : x
  2. Step 2: Convert to fraction form
    1,689.21/2,332.72 = 1,597.17/x
  3. Step 3: Cross multiply
    1,689.21x = 2,332.72 × 1,597.17
  4. Step 4: Simplify right side
    1,689.21x = 3,725,750.40
  5. Step 5: Solve for x
    x = 3,725,750.40/1,689.21
  6. Step 6: Final answer
    x = 2,205.62

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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.