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Finding the Fourth Proportional to 1,965.32, 2,710.63 and 1,219.72

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Solution

The fourth proportional to 1,965.32, 2,710.63 and 1,219.72 is: 1,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.32 : 2,710.63 = 1,219.72 : x
  2. Step 2: Convert to fraction form
    1,965.32/2,710.63 = 1,219.72/x
  3. Step 3: Cross multiply
    1,965.32x = 2,710.63 × 1,219.72
  4. Step 4: Simplify right side
    1,965.32x = 3,306,209.62
  5. Step 5: Solve for x
    x = 3,306,209.62/1,965.32
  6. Step 6: Final answer
    x = 1,682.28

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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.