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Finding the Fourth Proportional to 2,636.95, 3,955.44 and 689.17

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Solution

The fourth proportional to 2,636.95, 3,955.44 and 689.17 is: 1,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.95 : 3,955.44 = 689.17 : x
  2. Step 2: Convert to fraction form
    2,636.95/3,955.44 = 689.17/x
  3. Step 3: Cross multiply
    2,636.95x = 3,955.44 × 689.17
  4. Step 4: Simplify right side
    2,636.95x = 2,725,970.58
  5. Step 5: Solve for x
    x = 2,725,970.58/2,636.95
  6. Step 6: Final answer
    x = 1,033.76

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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.