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Finding the Fourth Proportional to 1,346.84, 1,854.42 and 1,223.82

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Solution

The fourth proportional to 1,346.84, 1,854.42 and 1,223.82 is: 1,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.84 : 1,854.42 = 1,223.82 : x
  2. Step 2: Convert to fraction form
    1,346.84/1,854.42 = 1,223.82/x
  3. Step 3: Cross multiply
    1,346.84x = 1,854.42 × 1,223.82
  4. Step 4: Simplify right side
    1,346.84x = 2,269,480.87
  5. Step 5: Solve for x
    x = 2,269,480.87/1,346.84
  6. Step 6: Final answer
    x = 1,685.04

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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.