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Finding the Fourth Proportional to 1,320.84, 1,964.79 and 1,306.80

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Solution

The fourth proportional to 1,320.84, 1,964.79 and 1,306.80 is: 1,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.84 : 1,964.79 = 1,306.80 : x
  2. Step 2: Convert to fraction form
    1,320.84/1,964.79 = 1,306.80/x
  3. Step 3: Cross multiply
    1,320.84x = 1,964.79 × 1,306.80
  4. Step 4: Simplify right side
    1,320.84x = 2,567,587.57
  5. Step 5: Solve for x
    x = 2,567,587.57/1,320.84
  6. Step 6: Final answer
    x = 1,943.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.