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Finding the Fourth Proportional to 1,389.08, 1,918.68 and 1,223.84

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Solution

The fourth proportional to 1,389.08, 1,918.68 and 1,223.84 is: 1,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.08 : 1,918.68 = 1,223.84 : x
  2. Step 2: Convert to fraction form
    1,389.08/1,918.68 = 1,223.84/x
  3. Step 3: Cross multiply
    1,389.08x = 1,918.68 × 1,223.84
  4. Step 4: Simplify right side
    1,389.08x = 2,348,157.33
  5. Step 5: Solve for x
    x = 2,348,157.33/1,389.08
  6. Step 6: Final answer
    x = 1,690.44

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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.