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Finding the Fourth Proportional to 1,967.40, 2,716.12 and 1,305.38

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Solution

The fourth proportional to 1,967.40, 2,716.12 and 1,305.38 is: 1,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.40 : 2,716.12 = 1,305.38 : x
  2. Step 2: Convert to fraction form
    1,967.40/2,716.12 = 1,305.38/x
  3. Step 3: Cross multiply
    1,967.40x = 2,716.12 × 1,305.38
  4. Step 4: Simplify right side
    1,967.40x = 3,545,577.15
  5. Step 5: Solve for x
    x = 3,545,577.15/1,967.40
  6. Step 6: Final answer
    x = 1,802.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.