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Finding the Fourth Proportional to 1,967.59, 2,716.39 and 1,305.34

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Solution

The fourth proportional to 1,967.59, 2,716.39 and 1,305.34 is: 1,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.59 : 2,716.39 = 1,305.34 : x
  2. Step 2: Convert to fraction form
    1,967.59/2,716.39 = 1,305.34/x
  3. Step 3: Cross multiply
    1,967.59x = 2,716.39 × 1,305.34
  4. Step 4: Simplify right side
    1,967.59x = 3,545,812.52
  5. Step 5: Solve for x
    x = 3,545,812.52/1,967.59
  6. Step 6: Final answer
    x = 1,802.11

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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.