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Finding the Fourth Proportional to 2,699.13, 3,725.10 and 1,636.95

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Solution

The fourth proportional to 2,699.13, 3,725.10 and 1,636.95 is: 2,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.13 : 3,725.10 = 1,636.95 : x
  2. Step 2: Convert to fraction form
    2,699.13/3,725.10 = 1,636.95/x
  3. Step 3: Cross multiply
    2,699.13x = 3,725.10 × 1,636.95
  4. Step 4: Simplify right side
    2,699.13x = 6,097,797.70
  5. Step 5: Solve for x
    x = 6,097,797.70/2,699.13
  6. Step 6: Final answer
    x = 2,259.17

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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.