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Finding the Fourth Proportional to 1,683.84, 2,322.60 and 1,329.65

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Solution

The fourth proportional to 1,683.84, 2,322.60 and 1,329.65 is: 1,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.84 : 2,322.60 = 1,329.65 : x
  2. Step 2: Convert to fraction form
    1,683.84/2,322.60 = 1,329.65/x
  3. Step 3: Cross multiply
    1,683.84x = 2,322.60 × 1,329.65
  4. Step 4: Simplify right side
    1,683.84x = 3,088,245.09
  5. Step 5: Solve for x
    x = 3,088,245.09/1,683.84
  6. Step 6: Final answer
    x = 1,834.05

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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.