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Finding the Fourth Proportional to 1,965.36, 2,713.33 and 1,303.12

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Solution

The fourth proportional to 1,965.36, 2,713.33 and 1,303.12 is: 1,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.36 : 2,713.33 = 1,303.12 : x
  2. Step 2: Convert to fraction form
    1,965.36/2,713.33 = 1,303.12/x
  3. Step 3: Cross multiply
    1,965.36x = 2,713.33 × 1,303.12
  4. Step 4: Simplify right side
    1,965.36x = 3,535,799.61
  5. Step 5: Solve for x
    x = 3,535,799.61/1,965.36
  6. Step 6: Final answer
    x = 1,799.06

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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.