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Finding the Fourth Proportional to 1,964.40, 2,708.22 and 1,683.42

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Solution

The fourth proportional to 1,964.40, 2,708.22 and 1,683.42 is: 2,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.40 : 2,708.22 = 1,683.42 : x
  2. Step 2: Convert to fraction form
    1,964.40/2,708.22 = 1,683.42/x
  3. Step 3: Cross multiply
    1,964.40x = 2,708.22 × 1,683.42
  4. Step 4: Simplify right side
    1,964.40x = 4,559,071.71
  5. Step 5: Solve for x
    x = 4,559,071.71/1,964.40
  6. Step 6: Final answer
    x = 2,320.85

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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.